Question

Please help! Lauren is 16, and Cara is 14. Their grandad gives them $1200 to share in the ratio of their ages. How much money do they each get? Show your work, please!!

Answer 1

Lauren will get $640 and Cara will get $560.

Explanation:

Given that:

Age of Lauren = 16

Age of Cara = 14

Ratio = 16 : 14

Amount given by their grandad = $1200

Let,

x be the number of times.

16x + 14x = 1200

30x = 1200

Dividing both sides by 30

`(30x)/(30)=(1200)/(30)\\x=40`

Share of Lauren = 16x = 16*40 = $640

Share of Cara = 14x = 14*40 = $560

Hence,

Lauren will get $640 and Cara will get $560.