SOLUTION: Riley, Benny, and Claudia share a bag of peas in the ratio 4:3:8. If Claudia gives 1/4 of her share to Benny. Benny will have 14 more peas than Riley. How many peas are there altog
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-> SOLUTION: Riley, Benny, and Claudia share a bag of peas in the ratio 4:3:8. If Claudia gives 1/4 of her share to Benny. Benny will have 14 more peas than Riley. How many peas are there altog
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Question 1124396: Riley, Benny, and Claudia share a bag of peas in the ratio 4:3:8. If Claudia gives 1/4 of her share to Benny. Benny will have 14 more peas than Riley. How many peas are there altogether? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Riley, Benny, and Claudia share a bag of peas in the ratio 4:3:8.
let x = the multiplier
then
4x = R's peas
3x = B's
8x = C's
If Claudia gives 1/4 of her share to Benny, Benny will have 14 more peas than Riley. (8x) + 3x = 4x + 14
2x + 3x = 4x + 14
5x - 4x = 14
x = 14 this the mulitplier
How many peas are there altogether?, therefore
4(14) = 56 peas for R originally
3(14) = 42 peas for B
8(14) =112 peas for C
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total: 210 peas altogether
:
;
Confirm this in the statement
"If Claudia gives 1/4 of her share to Benny, Benny will have 14 more peas than Riley. " (112) + 42 = 56 + 14
28 + 42 = 70