Danitat6

## Answered question

2022-01-22

A & B share the cost in a ratio of 7:2. A pays £126, how much does B pay?

### Answer & Explanation

Karlie Wilkins

Beginner2022-01-23Added 7 answers

The sum of the parts of the ratio $=7+2=9$
Of which A pays 7 of the parts and B, 2 of the parts.
Since A pays 7 parts then 1 part $=₤126÷7=£18$
Hence 2 parts $=2×£18=£36$
Thus B pays £36
As a check: Total paid $=£126+£36=£162$
and $£162÷9=£18$
Answer: ₤ 36

Tapanuiwp

Beginner2022-01-24Added 13 answers

B pays £36.00
Explanation:
Using ratio in the format of a fraction.
$\frac{\text{Payment by A}}{\text{Payment by B}}=\frac{7}{2}=\frac{£126}{B}$
Turning it upside down (makes it easier to determine B)
$\frac{2}{7}=\frac{B}{126}$
Multiply both sides by 126
$\frac{2}{7}×126=\frac{B}{126}126$
$\frac{252}{7}=B×\frac{126}{126}$
But giving:
$B=\frac{252}{7}=36$
B pays £36.00

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