Mathematics : asked on dondre54
 19.08.2020

Mary and Jane went on a tour together. Mary brought twice as much money as Jane. After Mary had spent $800 and Jane had spent $240, they had equal amount of money left. How much money did Mary have at first?

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09.07.2023, solved by verified expert
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Mary has $1120

Step-by-step explanation:

money mary has at first : x

money jane has at first : y

Mary brought twice as much money as Jane : x=2y

Mary had spent $800 and Jane had spent $240, they had equal amount of money left : x-800=y-240

=> Mary and Jane went on a tour together. Mary brought, №18011004, 19.08.2020 07:52

=> x=1120

y=560

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Mary had $1,120

Step-by-step explanation:

Let the amount mary and jane had be 2x and x respectively.

Let the equal amount be y:

Mary and Jane went on a tour together. Mary brought, №18011004, 19.08.2020 07:52

Using the simultaneous equation method, multiply the first equation by the coefficient of x(1) of the second equation and the second equation by the coefficient of x(2) of the first equation:

Mary and Jane went on a tour together. Mary brought, №18011004, 19.08.2020 07:52

Subtract the second equation from the first equation:

Mary and Jane went on a tour together. Mary brought, №18011004, 19.08.2020 07:52

$320 was their equal amount.

Substitute 320 for y in any equation:

Mary and Jane went on a tour together. Mary brought, №18011004, 19.08.2020 07:52

Therefore, Jane had $560 at first and Mary had $1120 at first.

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Faq

Mathematics
Step-by-step answer
P Answered by Master

Mary has $1120

Step-by-step explanation:

money mary has at first : x

money jane has at first : y

Mary brought twice as much money as Jane : x=2y

Mary had spent $800 and Jane had spent $240, they had equal amount of money left : x-800=y-240

=> \left \{ {{x=2y} \atop {x-800=y-240}} \right.

=> x=1120

y=560

Mathematics
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
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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