The ratio of Mario's money to Luigi's money was 9:4 before Mario went to the store. After Mario spent $84 on jackets, the ratio became 1:2. How much money did Mario have at first?

Guest Oct 12, 2021

#3**0 **

M --> Mario's

L--> Luigi's

According to question:

\( {M \over 4} = {9 \over 4}\)

4M = 9L ---- eq^{1}(1)

Again \( {M - 84 \over L } = {1 \over 2}\)

2M - 168 = L ---- equation (2)

Putting the value of in equation (1)

4M = 9(2M - 168)

4M = 18M - 1512

14M = 1512

M = \({1512\over14 } = 108\)

M = 108

the ratio have at first money is $108

Guest Oct 12, 2021