Question

Mr. Abernathy purchased a selection of wrenches for his shop. The total cost was $78. He bought the same number of $1.50 and $2.50 wrenches, and half that many $4 wrenches. The number of $3 wrenches was one more than the number of $4 wrenches. How many of each did he purchase?

_ $1.50 wrenches

_$2.50 wrenches

_$4 wrenches

_$3 wrenches.

Answer 1

Explanation:

let the number of $1.5 and $2.5 be x. The number of $4 was (x+0.5x)=1.5x and that of $3 was (x+0.5x+1)=(1.5x+1)

thus the total amount will be:

1.5x+2.5x+4(1.5x)+3(1.5x+1)=78

1.5x+2.5x+6x+4.5x+3=78

14.5x=78-3

14.5x=75

x~5

thus:

The number of :

$1.5 was 5

$2.5 was 5

$3 was 1.5*5+1=7.5=8.5

$4 was 1.5*5=4.5

Answer 2

let the number of $1.5 and $2.5 be x. The number of $4 was (x+0.5x)=1.5x and that of $3 was (x+0.5x+1)=(1.5x+1)
thus the total amount will be:
1.5x+2.5x+4(1.5x)+3(1.5x+1)=78
1.5x+2.5x+6x+4.5x+3=78
14.5x=78-3
14.5x=75
x~5
thus:
The number of :
$1.5 was 5
$2.5 was 5
$3 was 1.5*5+1=7.5=8.5
$4 was 1.5*5=4.5