Question

Chloe, Hannah and George are fundraising to cover their expenses to go on an educational trip They wash cars at community hall and share the money between them based on the number of hours they have washed cars. they share the money in the ratio 2:3:4. Georges share is $452. How many did they raise in total?

Answer 1

chloe, hannah, george.....ratio of 2:3:4....added = 9....meaning chloe gets 2/9 of the total money, hannah gets 3/9 of the total money, and george gets 4/9 of the total money.

so george got 452...
so 4/9 of the total money is 452
4/9x = 452
x = 452 / (4/9)
x = 452 * 9/4
x = 4068/4
x = 1017 <=== total money raised

lets check it...
chloe : 2/9(1017) = 2034/9 = 226
hannah : 3/9(1017) = 3051/9 = 339
george : 4/9(1017) = 4068/9 = 452
for a total of : 226 + 339 + 452 = 1017 (correct)

so ur answer is : $ 1017 total money raised

Answer 2

Chloe, Hannah and George shared the money in the ratio 2:3:4

Let x be the amount shared

Chloe share amount = 2x

Hannah's share amount = 3x

George's share amount = 4x

Given , Georges share is $452

So 4x = 452

Divide by 4 on both sides

x= 113

Chloe share amount = 2x = 2(113)= 226

Hannah's share amount = 3x = 3(113) = 339

Total amount they raised = 226 + 339 + 452 = $1017