Pierre sold 150 more chocolate chip cupcakes than vanilla cupcakes on Tuesday. On Wednesday, the number of vanilla cupcakes he sold decreased by 25% while the number of chocolate chip cupcakes he sold remained the same. He sold each tart for $5.90. He sold a total of 248 cupcakes on Wednesday. How much money did he receive from the sale of cupcakes on both days?
|
Chocolate chip cupcakes |
Vanilla cupcakes |
Total |
Comparing chocolate chip and vanilla cupcakes at first |
150 more
|
|
|
Before |
4 u + 150 |
4 u |
8 u + 150 |
Change |
|
- 1 u |
|
After |
4 u + 150 |
3 u |
7 u + 150 |
25% =
25100 =
14Total number of cupcakes sold on Wednesday
= 4 u + 150 + 3 u
= 7 u + 150
7 u + 150 = 248
7 u = 248 - 150
7 u = 98
1 u = 98 ÷ 7 = 14
Total number of cupcakes sold on Tuesday
= 4 u + 150 + 4 u
= 8 u + 150
Total number of cupcakes sold on both days
= 7 u + 150 + 8 u + 150
= 15 u + 300
= 15 x 14 + 300
= 210 + 300
= 510
Total amount received from the sale of cupcakes on both days
= 510 x 5.90
= $3009
Answer(s): $3009