SOLUTION: Together, a bat, a ball, and a glove cost $99.00. The bat costs $9.95 more than the ball, and the glove costs $65.45 more than the bat. How much does each cost? THANK YOU!

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Question 66473This question is from textbook Algebra 1
: Together, a bat, a ball, and a glove cost $99.00. The bat costs $9.95 more than the ball, and the glove costs $65.45 more than the bat. How much does each cost?
THANK YOU! This question is from textbook Algebra 1

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Together, a bat, a ball, and a glove cost $99.00. The bat costs $9.95 more than the ball, and the glove costs $65.45 more than the bat. How much does each cost?
THANK YOU!
Let x=cost of the ball
Then $9.95+x=cost of the bat
And $9.95+x+$65.45=cost of the glove
ball+bat+glove=$99.00
x+$9.95+x+$9.95+x+$65.45=$99.00 collect like terms
3x+$85.35=$99.00 subtract $85.35 from both sides:
3x+$85.35-$85.35=$99.00-$85.35
3x=$13.65
x=$4.55 cost of ball
$9.95+x=$9.95+4.55=$14.50 cost of bat
$9.95+x+$65.45=$14.50+$65.45=$79.95 cost of glove

ck
$4.55+$14.50+$79.95=$99.00
$99.00=$99.00
Bat costs $9.95 more than ball=$9.95+$4.55=$14.50
Glove costs $65.45 more than bat=$65.45+$14.50=$79.95

Hope this helps----ptaylor