SOLUTION: Oliver and Mike put apples and oranges in a bowl. the ratio of apples to oranges Oliver puts in the bowl is 2:3. the ratio Mike placed in the bowl is 1:2. each of them put 6 orange

Algebra ->  Proportions  -> Lessons -> SOLUTION: Oliver and Mike put apples and oranges in a bowl. the ratio of apples to oranges Oliver puts in the bowl is 2:3. the ratio Mike placed in the bowl is 1:2. each of them put 6 orange      Log On


   

Question 1204262: Oliver and Mike put apples and oranges in a bowl. the ratio of apples to oranges Oliver puts in the bowl is 2:3. the ratio Mike placed in the bowl is 1:2. each of them put 6 oranges in the bowl. how many oranges and apples are in the bowl all together.
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
factors x and y to help with the ratios and quantities 

            Apples         Oranges

Oliver        2x              3x

Mike          y               2y

Further as described, system%283x=6%2Cand%2C2y=6%29

that means system%28x=2%2Cand%2Cy=3%29.

Apples in the bowl, 2x%2By=4%2B3=highlight%287%29
-
Oranges in the bowl, highlight%2812%29

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Oliver has the ratio 2:3 which can be scaled up to 4:6 when doubling both sides.
It shows he put 4 apples and 6 oranges.

Mike has the ratio 1:2. Triple both sides to get 3:6 to show Mike put 3 apples with 6 oranges.

Total apples = 4+3 = 7
Total oranges = 6+6 = 12
Total fruit = 7+12 = 19

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Another approach

Oliver:
apples/oranges = 2/3
a/6 = 2/3
a = 6*(2/3)
a = 4
Oliver put 4 apples into the bowl.

Mike:
a/6 = 1/2
a = 6*(1/2)
a = 3
Mike put 3 apples into the bowl.

The steps from here are the same as the previous section.