Math

Question Find the number of red apples if the ratio of tomateos to apples is 2:5 and there are 20 tomateos.

Studdy Solution

STEP 1

Assumptions
1. The ratio of tomatoes to apples is 2:52:5.
2. There are 20 tomatoes.

STEP 2

The ratio gives us the relationship between the number of tomatoes and apples. If we let tt represent the number of tomatoes and aa represent the number of apples, we can write the ratio as:
ta=25\frac{t}{a} = \frac{2}{5}

STEP 3

We know that there are 20 tomatoes, so we can substitute t=20t = 20 into the ratio equation.
20a=25\frac{20}{a} = \frac{2}{5}

STEP 4

To find the number of apples, we need to solve for aa. We can do this by cross-multiplying the terms in the ratio equation.
5×20=2×a5 \times 20 = 2 \times a

STEP 5

Now, perform the multiplication on both sides of the equation.
100=2a100 = 2a

STEP 6

Next, we divide both sides of the equation by 2 to solve for aa.
1002=a\frac{100}{2} = a

STEP 7

Calculate the number of apples.
a=1002=50a = \frac{100}{2} = 50
There are 50 red apples.

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