Question

Wesley is making a patio from stones of two sizes, 5 inches wide and 10 inches wide. He wants to begin and end his pattern with a 10-inch stone so there will be one more of the 10-inch stone than of the 5-inch stones. His patio will be 145 inches wide. Wesley will need how many 10-inches stones for one row?

Answer 1

Answer:

12

Step-by-step explanation:

10t + 5(t-1) = 175

10t + 5t - 5 = 175

15t - 5 = 175

15t = 180

180 / 15 = 12

t =  12

Answer 2

The first stone will be 10-in wide
The last stone will be 10-in wide
The stones in the middle will be alternating between 5-in and 10-in stones, making a total of 15-in
Total width = 145-in
Width after placing first and last stones = 145 - 20 = 125-in
Number of 15-in patterns incorporated in 125-in:
125/15 = 8.33
Therefore, he will place 8 10-inch stones within and 9 5-inch stones within the patter. 
The total 10-inch stones used = 8 + 2 = 10