Shelly compared the number of oak trees to the, №8953654, 08.04.2020 22:25

Mathematics

Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. She counted 9 maple trees to every 5 oak trees. Later in the year there was a bug problem, and many trees died. New trees were planted to make sure there were the same number of trees as before the bug problem. The new ratio of the number of maple trees to the number of oak trees is 3:11. After planting new trees, there were 132 oak trees. How many more maple trees were in the woodlot before the bug problem than after the

Step-by-step answer

P Answered by PhD

3

72

Step-by-step explanation:

Initial ratio of maple trees to oak trees

9:5

New ratio of maple trees to oak trees

3:11

Number of oak trees = 132

Number of maple trees

132*3/11 = 36

Total number of trees

132+36 = 168

Initial number of maple trees

168*9/14 = 108

The difference in the number of maple trees:

108 - 36 = 72

Mathematics

Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. She counted 9 maple trees to every 5 oak trees. Later in the year there was a bug problem and many trees died. New trees were planted to make sure there were the same number of trees as before the bug problem. The new ratio of the number of maple trees to the number of oak trees is 3:11 After planting new trees, there were 132 oak trees. How many maple trees were in the woodlot before the bug problem?

Step-by-step answer

P Answered by PhD

2

She counted 9 maple trees to every 5 oak trees.

Step-by-step explanation:

Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot.

Mathematics

Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. she counted 9 maple trees to every 5 oak trees. later in the year there was a big problem and many trees died. new trees were planted to make sure there was the same number of trees as before the big problem. the new ratio of the number of maple trees to the number of oak trees is 3: 11. after planting new trees, there were 132 oak trees. how many more maple trees were in the woodlot before the big problem than after the bug

Step-by-step answer

P Answered by Specialist

1

Try this option:
1. according to the condition new ratio of maple trees (m.t.) is 3:11 and number of o.t. is 132. It means
$\frac{3}{11} = \frac{x_1}{132} \ =\ \textgreater \ \ x_1=3*132/11=36(m.t.)$ number of m.t. after the bug.
2. total number of trees after bug problem is 132+36=168. According the condition it is the same number as before the big problem. Using this,
3. 5x+9x=168 - total number of the trees before big problem, where 5x is number of o.t. and 9x is number of m.t.
x=168/14=12 and
4. ⇒ 9x=9*12=108 m.t. before the big problem.
36 m.t. and 108 m.t.
P.S. before the big problem 108 m.t. and 5*12=60 o.t., after the bug 36 m.t. and 132 o.t.

Mathematics

Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. she counted 9 maple trees to every 5 oak trees. later in the year there was a big problem and many trees died. new trees were planted to make sure there was the same number of trees as before the big problem. the new ratio of the number of maple trees to the number of oak trees is 3: 11. after planting new trees, there were 132 oak trees. how many more maple trees were in the woodlot before the big problem than after the bug

Step-by-step answer

P Answered by Master

1

Try this option:
1. according to the condition new ratio of maple trees (m.t.) is 3:11 and number of o.t. is 132. It means
$\frac{3}{11} = \frac{x_1}{132} \ =\ \textgreater \ \ x_1=3*132/11=36(m.t.)$ number of m.t. after the bug.
2. total number of trees after bug problem is 132+36=168. According the condition it is the same number as before the big problem. Using this,
3. 5x+9x=168 - total number of the trees before big problem, where 5x is number of o.t. and 9x is number of m.t.
x=168/14=12 and
4. ⇒ 9x=9*12=108 m.t. before the big problem.
36 m.t. and 108 m.t.
P.S. before the big problem 108 m.t. and 5*12=60 o.t., after the bug 36 m.t. and 132 o.t.

Mathematics

Shelly compared the number of oak trees to the number of maple trees as a part of a study about hardwood trees in a woodlot. she counted 9 maple trees to every 5 oak trees. later in year there was a bug problem and many trees died. new trees were planted to make sure there was same number of trees as before the bug problem. the new ratio of the number of maple trees to the number of oak trees is 3: 11. after planting new trees, there were 132 oak trees. how many more maple trees were in the woodlot before the bug problem than after the bug problem?

Step-by-step answer

P Answered by Master

10

With the new ratio

3 maple trees for every 11 oak trees

132 oak trees (11*12=132)
3*12 = 36 maple trees

36 maple trees plus 132 oak trees = 168 total trees

since your original ratio was 9:5 that means 9/14 of the trees were maple; so set up a proportion to find the number of trees that were maple before the bugs
$\frac{9}{14}= \frac{x}{168}$ cross multiply
14x = 1512
x= 108 maple trees before there were bugs

Finally do 108 - 36 (maple trees before, minus, maple trees after)

difference = 78 maple trees

Mathematics

Shelly compared the number of oak trees to the number of maple trees as a part of a study about hardwood trees in a woodlot. she counted 9 maple trees to every 5 oak trees. later in year there was a bug problem and many trees died. new trees were planted to make sure there was same number of trees as before the bug problem. the new ratio of the number of maple trees to the number of oak trees is 3: 11. after planting new trees, there were 132 oak trees. how many more maple trees were in the woodlot before the bug problem than after the bug problem?

Step-by-step answer

P Answered by Specialist

10

With the new ratio

3 maple trees for every 11 oak trees

132 oak trees (11*12=132)
3*12 = 36 maple trees

36 maple trees plus 132 oak trees = 168 total trees

since your original ratio was 9:5 that means 9/14 of the trees were maple; so set up a proportion to find the number of trees that were maple before the bugs
$\frac{9}{14}= \frac{x}{168}$ cross multiply
14x = 1512
x= 108 maple trees before there were bugs

Finally do 108 - 36 (maple trees before, minus, maple trees after)

difference = 78 maple trees

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

Step-by-step answer

P Answered by PhD