Dean and Patrick brought some money for shopping. The ratio of the amount of money Dean had to the amount of amount Patrick had was 3:8. The ratio of the amount of money Dean spent to the amount of money Patrick spent was 3:5. Dean spent 3/4 of his money and Patrick had $136 left. What was the total amount of money they brought for shopping?

kendrickotiswalker10 Sep 4, 2023

#1**+1 **

D==Dean's money, P==Patrick's money

d==How much Dean spent, p==How much Patrick spent

D/P == 3/8..................... (1)

d/p==3/5........................ (2)

D - d ==1/4D.................. (3)

P - p==136..................... (4), solve for D, P, d, p

From (1) and (2) above, we have:

d==0.60p and D==0.375P (5)

Sub d and D in (3) above and we have:

0.375P - 0.60p ==1/4 * 0.375P

P - p == 136, solve for P, p

**P==$256 - Patrick's money**

**p==$120 - what Patrick spent**

Sub P and p into (5) above:

**D==0.375 * 256==$96 Deans money**

**d==0.60 * 120==$72 - what Dean spent.**

Guest Sep 4, 2023