Question

you want to use an equal number of dimes and quarters to make $10.50. how many coins will you need altogether?
○ 60
○ 35
○ 30
○ 50

Explanation:

Step1: Define variable for coin count

Let $x$ = number of dimes = number of quarters.

Step2: Set up total value equation

Value of dimes: $0.10x$, Value of quarters: $0.25x$. Total value: $0.10x + 0.25x = 10.50$

Step3: Combine like terms

$0.35x = 10.50$

Step4: Solve for $x$

$x = \frac{10.50}{0.35} = 30$

Step5: Calculate total coins

Total coins = $x + x = 30 + 30 = 60$

Answer:

60