02.04.2023

5 A school rewards students for good work by giving them merit points.

James has x merit points.

Sarah has three times as many merit points than James.

Robert has 68 fewer merit points than James.

ETTER

GRADE

Each merit point is worth 3 pence.

All three of the students have a total of £15.81

EFFECT

Work out how many merit points each student has.

Irk

James:

Your

Marks

Sarah:

Robert

. 0

Step-by-step answer

24.06.2023, solved by verified expert
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James = 119 points

Sarah = 357 points

Roberts = 51 points

Step-by-step explanation:

Given that :

James = x points

Sarah = 3x points

Roberts = x - 68 points

Each point = 3 pence

All students have a total of £15.81

1 pound = 100 pence

£15.81 pound = 1581 pence

3x + 3(3x) + 3(x - 68) = 1581

3x + 9x + 3x - 204 = 1581

15x - 204 = 1581

15x = 1581 + 204

15x = 1785

x = 1785 / 15

x = 119

Hence,

James = 119 points

Sarah = 119 * 3 = 357 points

Roberts = 119 - 68 = 51 points

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Mathematics
Step-by-step answer
P Answered by PhD

James = 119 points

Sarah = 357 points

Roberts = 51 points

Step-by-step explanation:

Given that :

James = x points

Sarah = 3x points

Roberts = x - 68 points

Each point = 3 pence

All students have a total of £15.81

1 pound = 100 pence

£15.81 pound = 1581 pence

3x + 3(3x) + 3(x - 68) = 1581

3x + 9x + 3x - 204 = 1581

15x - 204 = 1581

15x = 1581 + 204

15x = 1785

x = 1785 / 15

x = 119

Hence,

James = 119 points

Sarah = 119 * 3 = 357 points

Roberts = 119 - 68 = 51 points

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

The solution is given in the image below

The solution is given in the image below
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

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

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

Mathematics
Step-by-step answer
P Answered by PhD

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Mathematics
Step-by-step answer
P Answered by PhD

We can put the numbers in ascending order-

36, 38, 39, 39, 40, 47, 48, 51

Range=max-min

          =51-36

          =15

Mathematics
Step-by-step answer
P Answered by PhD

There are 6 outcomes 1,2,3,4,5,6

Total outcomes = 6

Outcomes when rolling a number is 4 or less = 1,2,3,4

Total outcome when rolling a number is 4 or less=4

Probability = required outcome/total outcome

                 =4/6

                 =2/3

Therefore probability = 2/3

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