If 50 apples and 40 peaches are sold, what is the ratio of the remaining apples of peaches?

Question

There are 300 apples and peaches for sale at a farmer's market. The ratio of the number of apples to the number of peaches is 7:8

Answer 1

Let a = the number of apples and p = the number of peaches.

 

a + p = 300

 

a/p = 7/8

So a = (7/8)p

 

Substitute (7/8)p in place of a in the first equation:

 

(7/8)p + p = 300

(15/8)p = 300

p = 300*(8/15)

p = 160

 

a = (7/8)160 = 140

 

If you sell 50 apples and 40 peaches, the new ratio is:

 

(a-50)/(p-40) = (140-50)/(160-40) = 90/120 = 3/4