SOLUTION: A shop owner is ordering vases from a stock catalogue. Red vases cost $4.20 and clear vases cost $5.70. If 25 vases cost $120, how many of each type of vase did she buy? Also sho

Question 944473: A shop owner is ordering vases from a stock catalogue. Red
vases cost $4.20 and clear vases cost $5.70. If 25 vases cost
$120, how many of each type of vase did she buy? Also show the algebraic expression.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Let R=number of red vases and C=number of clear vases
$4.20R+$5.70C=$120
R+C=25: R=25-C Solve for R and substitute
$4.20(25-C)+$5.70C=$120
$105-$4.20C+$5.70C=$120 Subtract $105 from each side
$1.50C=$15 divide by $1.50
C=10 ANSWER 1: She bought 10 clear vases.
R+C=25
R+10=25
R=15 ANSWER 2: She bought 15 red vases.
CHECK:
$4.20R+$5.70C=$120
$4.20(15)+$5.70(10)=$120
($63)+ ($57)=$120
$120=$120
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