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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?

Answer :

calculista

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

[tex]\frac{x}{y} =\frac{3}{2}[/tex]

[tex]x=1.5y[/tex] ----> 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

[tex]x-6=y[/tex] ----> equation B

substitute equation A in equation B

[tex]1.5y-6=y[/tex]

solve for y

[tex]1.5y-y=6\\0.5y=6\\y=12[/tex]

Find the value of x

[tex]x=1.5(12)=18[/tex]

therefore

Mon put on the table

[tex]x+y=18+12=30\ fruits[/tex]

Answer:

30

Step-by-step explanation:

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