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?
Define a variable ** Green grapes = G
How many red grapes are there? ** Red grapes = 3G + 7
How many raspberries are there? ** Raspberries = G - 5
Write an equation ** G + 3G + 7 + G - 5 = 102
Combine like terms ** 5G + 2 = 102
Simplify ** 5G = 100
Divide by 5 ** G = <<20=20>>20
How many red grapes are there? ** 3 * 20 + 7 = <<3*20+7=67>>67
How many red grapes are there? ** There are 67 red grapes.
#### 67