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

Question

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

Karlie Wilkins · Accepted Answer

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 · Accepted Answer

B pays £36.00
Explanation:
Using ratio in the format of a fraction.
$\frac{Payment by A}{Payment by B} = \frac{7}{2} = \frac{£ 126}{B}$
Turning it upside down (makes it easier to determine B)
$\frac{2}{7} = \frac{B}{126}$
Multiply both sides by 126
$\frac{2}{7} \times 126 = \frac{B}{126} 126$
$\frac{252}{7} = B \times \frac{126}{126}$
But $\frac{126}{126} = 1 so B \times 1 = B$ giving:
$B = \frac{252}{7} = 36$
B pays £36.00

A & B share the cost in a ratio of

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