In a fruit salad, there are raspberries, green grapes, and red grapes. There are seven more than 3 times the number of red grapes as green grapes. There are 5 less raspberries than green grapes. If there are 102 pieces of fruit in the salad, how many red grapes are in the salad?
Let’s work this out in a step by step way to be sure we have the right answer.
67
Green grapes = G.

Red grapes = 3G + 7.

Raspberries = G - 5.

G + 3G + 7 + G - 5 = 102.

5G + 2 = 102.

5G = 100.

G = 20.

3 * 20 + 7 = 67.

There are 67 red grapes.

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So, the answer is 67