bellatrix wrote:
Two classes participate in a contest stacking blocks. Each person in class 1 stacks 80 percent as many blocks as each person in class 2 and there are 25 percent more people in class 1 than class 2.
Quantity A |
Quantity B |
The percent of the total blocks that class 1 stacks |
The percent of the total blocks that class 2 stacks |
Let
x = the number of PEOPLE in class 2
So,
1.25x = the number of PEOPLE in class 1
(since there are 25% more people in class 1 than class 2)Let
y = the number of BLOCKS stacked PER PERSON in class 2
So,
0.8y = the number of BLOCKS stacked PER PERSON in class 1
(since each person in class 1 stacks 80% as many blocks as each person in class 2)TOTAL number of blocks stacked (per class) = (number of PEOPLE in the class)(number of BLOCKS stacked PER PERSON in the class)TOTAL number of blocks stacked in Class 1 = (
1.25x)(
0.8y) =
xyTOTAL number of blocks stacked in Class 2 = (
x)(
y) =
xy Since each class stacked the SAME NUMBER OF BLOCKS (
xy), this means each class accounted for 50% of the combined total of blocks stacked.
We get:
Quantity A: 50%
Quantity B: 50%
Answer: C
Cheers,
Brent