Trixie and Mandy are comparing their grocery shopping. For every red apple Trixie has, she has four green apples. For every red apple Mandy has, she has three green apples. Trixie and Mandy have 20 apples each. How many more green apples does Trixie have compared to Mandy?
Question
Trixie and Mandy are comparing their grocery shopping. For every red apple Trixie has, she has four green apples. For every red apple Mandy has, she has three green apples. Trixie and Mandy have 20 apples each. How many more green apples does Trixie have compared to Mandy?
Solution
Step 1: Let's first find out how many red and green apples Trixie and Mandy each have.
For Trixie, we know that for every red apple she has, she has four green apples. This means that her apples are divided into groups of 5 (4 green + 1 red). So, if she has 20 apples, she has 20/5 = 4 groups. Therefore, Trixie has 4 red apples and 4*4 = 16 green apples.
For Mandy, for every red apple she has, she has three green apples. This means that her apples are divided into groups of 4 (3 green + 1 red). So, if she has 20 apples, she has 20/4 = 5 groups. Therefore, Mandy has 5 red apples and 5*3 = 15 green apples.
Step 2: Now, let's compare the number of green apples Trixie and Mandy have.
Trixie has 16 green apples and Mandy has 15 green apples. Therefore, Trixie has 16 - 15 = 1 more green apple than Mandy.
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