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ankoles [38]
2 years ago
11

Mom put plums and apples onto a plate. The ratio of the number of plums to the number of apples was 3:2. How many fruit did mom

put on the plate, if after Ed took 6 plums from the plate, the number of plums remaining on the plate became the same as the number of apples?
Mathematics
2 answers:
Margarita [4]2 years ago
6 0

Answer:

30

Step-by-step explanation:

Delvig [45]2 years ago
5 0

Answer:

30 fruits

Step-by-step explanation:

Let

x ----> number of plums on the plate

y ----> number of apples on the plate

we know that

The ratio of the number of plums to the number of apples was 3:2

so

\frac{x}{y} =\frac{3}{2}

x=1.5y ----> equation A

After Ed took 6 plums from the plate, the number of plums remaining on the plate became the same as the number of apples

so

x-6=y ----> equation B

substitute equation A in equation B

1.5y-6=y

solve for y

1.5y-y=6\\0.5y=6\\y=12

Find the value of x

x=1.5(12)=18

therefore

Mon put on the table

x+y=18+12=30\ fruits

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