Problema Solution
Mr. Abernathy purchases a selection of wrenches for his shop. His bill was $78. He buys the same number of $1.50 and $2.50 wrenches, and half that many $4 wrenches. The number of $3 wrenches is one more than the number of $4 wrenches. How many of each did he purchase?
Answer provided by our tutors
Let
x = the number of $1.50 wrenches
x = the number of $2.50 wrenches
x/2 = the number of $4 wrenches
1 + x/2 = the number of $3 wrenches
The total cost for all wrenches was $78:
1.50x + 2.50x + 4*(x/2)+ 3(1 + x/2) = 78
........
click here to see the equation solved for x
........
x = 10
10/2 = 5
1 + 10/2 = 6
Mr. Abernathy purchased 10 of $1.50 wrenches, 10 of $2.50 wrenches, 5 of $4 wrenches and 6 of $3 wrenches.