Search 72,237 tutors
FIND TUTORS
Ask a question
0 0

Word problem - see description

 A fruit salad has blueberries, rasberries, grapes and cherries.  The fruit salad has a total of 280 pieces of fruit.  There are twice as many rasberries as blueberries, three times as many grapes as cherries and four times as many cherries as rasberries.  How many cherries are there in the fruit salad?
Tutors, please sign in to answer this question.

1 Answer

Let b = number of blueberries           
Let r = number of raspberries
Let g = number of grapes
Let c = number of cherries
 
(1) b + r + g + c = 280   
(2) r = 2b     Substitute equation 2 into equation 4, which means c = 4(2b) or c = 8b (eq. 5)
(3) g = 3c     Substitute equation 3 into equation 5, which means g = 3(8b) = 24b (eq. 6)
(4) c = 4r                       
 
                                 
Now, substitute equations 2, 5, and 6 into equation 1:
b + 2b + 24b + 8b = 280                       r = 2(8)                    c = 4(16)          g = 3(64)
                      35b = 280                       r = 16 raspberries      c = 64 cherries  g = 192 grapes
                       35      35
                          b = 8 blueberries
 

Woodbridge Word Problem tutors