Math Problem Statement

Sasa had some 20-cent and 50-cent coins. Let x be the total number of coins. Then, 7/8 x were 20-cent coins, and the rest, 1 - 7/8 = 1/8 x, were 50-cent coins. After Sasa spent $72.50 worth of 50-cent coins, which is equivalent to 72.50 / 0.50 = 145 50-cent coins, and 5/7 of the 20-cent coins, she had 2/7 x coins left. Find the total amount of money Sasa left.

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Proportions
Coin Value Calculations

Formulas

Total coins remaining: 2/7x
Remaining 50-cent coins: 1/28x
Value of remaining 20-cent coins: (1/4)x * 0.20
Value of remaining 50-cent coins: (1/28)x * 0.50

Theorems

Basic algebraic manipulation
Proportion calculation

Suitable Grade Level

Grades 8-10