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12-38.

Write and solve an equation (or system of equations) for the situation below. Define your variable(s) and write your solution as a sentence.

Jessica has 147 coins that are all dimes and quarters. The number of quarters is 6 fewer than twice the number of dimes. What is the value of her coins? Homework Help ✎

Think of this situation as:
The number of dimes plus the number of quarters equals 147.
2 times the number of dimes minus 6 equals the number of quarters.

Define your variables:
x = the number of dimes
y = the number of quarters

Use steps 1 and 2 to build two equations. Then solve for x and y.

Remember to write your solution as a sentence, not just solve for the variables!