Question

Wesley is making a patio from stones of two sizes, 5 inch wide and 10 inch wide. He wants to begin and end his pattern with a 10 inch stone so there will be one more of the 10 inch stones than of 5inch stones. His patio will be 130 inches wide.

How many 10 inch stones will Wesley need for one row?

Answer 1

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Answer:

9

Explanation:

If x is the number of 10-inch stones, then (x-1) is the number of 5-inch stones, and the total width is ...

10x +5(x-1) = 130

15x -5 = 130 . . . . . . . eliminate parentheses

15x = 135 . . . . . . add 5

x = 9 . . . . . . . divide by 15

Wesley will need 9 10-inch stones for one row.