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Using Ratio and Proportion

Doreen uses 13 apples for every 2 pies she bakes. How many apples will she use for 12 pies?

1. Write the steps to find the answer.

2. Which choice below works to find how many apples are needed?

A. Set up two ratios of apples to pies. Multiply the known ratio by the number of pies Doreen needs.
B. Set up a proportion using the numbers you know. Identify the relationship between the numerators and the denominators, then solve for the missing number.



Answer :

GinnyAnswer
Let's solve the problem step-by-step to figure out how many apples Doreen will use to bake 12 pies.

### Step 1: Understanding the given ratio

Doreen uses 13 apples for every 2 pies she bakes. This gives us the ratio:
[tex]\[ \text{Apples : Pies} = 13 : 2 \][/tex]
This means she uses [tex]\( \frac{13}{2} \)[/tex] apples for each pie.

### Step 2: Calculate the number of apples needed per pie

To find the number of apples she uses per pie, we divide 13 apples by 2 pies:
[tex]\[ \text{Apples per pie} = \frac{13}{2} = 6.5 \][/tex]
So, Doreen uses 6.5 apples for each pie.

### Step 3: Calculate the total number of apples for 12 pies

Now, we need to determine how many apples are needed for 12 pies. We do this by multiplying the number of apples per pie by the number of pies:
[tex]\[ \text{Total apples needed} = \text{Apples per pie} \times \text{Number of pies} \][/tex]
[tex]\[ \text{Total apples needed} = 6.5 \times 12 = 78 \][/tex]

### Step 4: Conclusion

Doreen will use 78 apples to bake 12 pies.

In summary:
1. Doreen uses 6.5 apples for one pie.
2. For 12 pies, she will need [tex]\( 6.5 \times 12 = 78 \)[/tex] apples.

Thus, Doreen will use 78 apples for 12 pies.

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