SOLUTION: Together, a bat, ball, and glove cost $70.00. The bat costs $10 more than the ball, and the glove costs $20 more than two balls. How much does each cost ?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Together, a bat, ball, and glove cost $70.00. The bat costs $10 more than the ball, and the glove costs $20 more than two balls. How much does each cost ?       Log On


   

Question 185443: Together, a bat, ball, and glove cost $70.00. The bat costs $10 more than the ball, and the glove costs $20 more than two balls. How much does each cost ?
Answer by nerdybill(7384) About Me  (Show Source):
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Together, a bat, ball, and glove cost $70.00. The bat costs $10 more than the ball, and the glove costs $20 more than two balls. How much does each cost ?
.
Let x = cost of a ball
then
x+10 = cost of a bat
2x+20 = cost of a glove
.
x + x+10 + 2x+20 = 70
4x+30 = 70
4x = 40
x = $10 (cost of a ball)
.
cost of a bat:
x+10 = 10+10 = $20
.
cost of a glove:
2x+20 = 2(10)+20 = $40