Question 1021743
.
x=pounds of less expensive candy; y=pounds of more expensive candy
.
x+y=15
x=15-y . Use this to substitute for x below.
.
$1.23x+$3.36y=$2.37(15) . Substitute for x from above.
$1.23(15-y)+$3.36y=$35.55
$18.45-$1.23y+$3.36y=$35.55
$2.13y=$17.10
y=8.03
.
x=15-y=15-8.03=6.97
.
ANSWER: She should use 6.97 pounds of the less expensive candy and 8.03 pounds of the more expensive candy.
.
CHECK:
.
$1.23x+$3.36y=$2.37(15)
$1.23x+$3.36y=$35.55
$1.23(6.97)+$3.36(8.03)=$35.55
$8.57+$26.98=$35.55
$35.55=$35.55
.