What fraction ?

Question

Roger and sally share a sum of $60 . After their uncle gave each of them$ 16 more, Roger had 10/13 of the amount of Sally had. What fraction of the sum of $ 60, did Roger receive at first ?

Answer 1

line 1: x+y=60

line 2: x+16=(10/13)(y+16)

form line 1...y=60-x

put intu line 2: x+16=(10/13)*(60-x)+(10/13)*16

x+(10/13)x=-16+(10/13)*60 +(10/13)*16)

(23/13)x=-16 +(10/13)*76 =(760-208)/13=552/13

x=(13/23)*(552/13)=552/23=24

Answer 2

1 / A watermelon cost 6 times as much as a pear .

Regina spent 4/7 of her money on some watermelons and 2/3 of her money on 24 pears.

a. How many watermelons didshe buy ?

b. If each pear cost $ 0.50, how much did Regina have at first ?

2 / Aline and Jim shared a sum of money . 

Aline's share was $ 180 less than Jim's share . After Jim gave 1/7 of his share to Aline , 

Aline had $ 20 more than Jim . 

a / How much did Aline have at first ?