Question

Pail has just enough money to buy 5 erasers and 30 pencils or 10 erasers and 24 pencil. Each eraser costs 30 cents. How much does each pencil cost?
Write an algebraic equation to solve for the pencil cost (x).

5(0.3)+30x= 10(0.3) + 24x
1.50 +30x=3+24x
1.50+6x=3
6x=1.5
x=1.5/6=0.25

The cost of the pencil is $0.25.

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