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?
Green grapes = G
Red grapes = 3G + 7
Raspberries = G - 5
G + 3G + 7 + G - 5 = 102
5G + 2 = 102
5G = 100
G = <<20=20>>20
3 * 20 + 7 = <<3*20+7=67>>67
There are 67 red grapes.
#### 67