SOLUTION: Three boys put all their pennies together to buy popcorn. Justin gave 1/4 of the pennies. Jacob gave 1/8 of the pennies. They had 456 pennies in all. How many pennies did

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Three boys put all their pennies together to buy popcorn. Justin gave 1/4 of the pennies. Jacob gave 1/8 of the pennies. They had 456 pennies in all. How many pennies did      Log On


   

Question 1184109: Three boys put all
their pennies together to buy
popcorn. Justin gave 1/4 of
the pennies. Jacob gave 1/8
of the pennies. They had
456 pennies in all. How
many pennies did Peter
give?
Found 3 solutions by josgarithmetic, MathLover1, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Justin        (1/4)*456
Jacob         (1/8)*456
Peter            p
TOTAL            456

YOU KNOW WHAT TO DO FROM HERE.

Do you at least understand clearly 456%2F4%2B456%2F8%2Bp=456 ?
And if you understand fractions enough, maybe you see the simplification that can be made.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

They had 456 pennies in all.
Justin gave 1%2F4 of the pennies.=> %281%2F4%29456=114
Jacob gave 1%2F8+of the pennies.=> %281%2F8%29456=57
then Peter give 456-%28114%2B57%29=285 pennies

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
Three boys put all their pennies together to buy popcorn. Justin gave 1/4 of the pennies. Jacob gave 1/8 of the pennies. They had 456 pennies in all. How many pennies did Peter give?
Fraction of total pennies Justin gave: matrix%281%2C3%2C+1%2F4%2C+or%2C+2%2F8%29
Fraction of total pennies Jacob gave: 1%2F8
Fraction of total pennies Justin and Jacob gave: matrix%281%2C3%2C+2%2F8+%2B+1%2F8%2C+%22=%22%2C+3%2F8%29
Fraction of total pennies Peter gave: matrix%281%2C3%2C+1+-+3%2F8%2C+%22=%22%2C+5%2F8%29
Total number of pennies: 456
Number of pennies Peter gave: