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Lisa bought lime and strawberry tarts for a party.25% of the tarts were lime.There were 75 more strawberry tarts than lime tarts.How many tarts did Lisa buy altogether?

Question

Lisa bought lime and strawberry tarts for a party.25% of the tarts were lime.There were 75 more strawberry tarts than lime tarts.How many tarts did Lisa buy altogether?

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Solution

Let's solve this step by step:

  1. Let's assume the number of lime tarts is X. According to the problem, lime tarts make up 25% of the total tarts. So, X = 25% of total tarts.

  2. The problem also mentions that there are 75 more strawberry tarts than lime tarts. So, the number of strawberry tarts = X + 75.

  3. The total number of tarts is the sum of lime tarts and strawberry tarts. So, total tarts = X + (X + 75).

  4. Since we know that X = 25% of total tarts, we can substitute X in the equation from step 3: 25% of total tarts + 25% of total tarts + 75 = total tarts.

  5. Simplifying this gives: 50% of total tarts + 75 = total tarts.

  6. If we subtract 50% of total tarts from both sides, we get: 75 = 50% of total tarts.

  7. To find the total number of tarts, we divide 75 by 50% (or 0.5), which gives us 150.

So, Lisa bought 150 tarts altogether.

This problem has been solved

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