Fred sold 75 more apple cupcakes than apricot cupcakes on Tuesday. On Wednesday, the number of apricot cupcakes he sold decreased by 10% while the number of apple cupcakes he sold remained the same. He sold each tart for $4.20. He sold a total of 740 cupcakes on Wednesday. How much money did he receive from the sale of cupcakes on both days?
|
Apple cupcakes |
Apricot cupcakes |
Total |
Comparing apple and apricot cupcakes at first |
75 more
|
|
|
Before |
10 u + 75 |
10 u |
20 u + 75 |
Change |
|
- 1 u |
|
After |
10 u + 75 |
9 u |
19 u + 75 |
10% =
10100 =
110Total number of cupcakes sold on Wednesday
= 10 u + 75 + 9 u
= 19 u + 75
19 u + 75 = 740
19 u = 740 - 75
19 u = 665
1 u = 665 ÷ 19 = 35
Total number of cupcakes sold on Tuesday
= 10 u + 75 + 10 u
= 20 u + 75
Total number of cupcakes sold on both days
= 19 u + 75 + 20 u + 75
= 39 u + 150
= 39 x 35 + 150
= 1365 + 150
= 1515
Total amount received from the sale of cupcakes on both days
= 1515 x 4.20
= $6363
Answer(s): $6363