Tim sold 98 more cherry doughnuts than apricot doughnuts on Tuesday. On Wednesday, the number of apricot doughnuts he sold decreased by 10% while the number of cherry doughnuts he sold remained the same. He sold each tart for $3.50. He sold a total of 554 doughnuts on Wednesday. How much money did he receive from the sale of doughnuts on both days?
| |
Cherry doughnuts |
Apricot doughnuts |
Total |
Comparing cherry
and apricot doughnuts
at first |
98 more
|
|
|
| Before |
10 u + 98 |
10 u |
20 u + 98 |
| Change |
|
- 1 u |
|
| After |
10 u + 98 |
9 u |
19 u + 98 |
10% =
10100 =
110Total number of doughnuts sold on Wednesday
= 10 u + 98 + 9 u
= 19 u + 98
19 u + 98 = 554
19 u = 554 - 98
19 u = 456
1 u = 456 ÷ 19 = 24
Total number of doughnuts sold on Tuesday
= 10 u + 98 + 10 u
= 20 u + 98
Total number of doughnuts sold on both days
= 19 u + 98 + 20 u + 98
= 39 u + 196
= 39 x 24 + 196
= 936 + 196
= 1132
Total amount received from the sale of doughnuts on both days
= 1132 x 3.50
= $3962
Answer(s): $3962
