Luke sold 107 more cheese tarts than vanilla tarts on Monday. On Tuesday, the number of vanilla tarts he sold decreased by 75% while the number of cheese tarts he sold remained the same. He sold each tart for $5.20. He sold a total of 317 tarts on Tuesday. How much money did he receive from the sale of tarts on both days?
|
Cheese tarts |
Vanilla tarts |
Total |
Comparing cheese and vanilla tarts at first |
107 more
|
|
|
Before |
4 u + 107 |
4 u |
8 u + 107 |
Change |
|
- 3 u |
|
After |
4 u + 107 |
1 u |
5 u + 107 |
75% =
75100 =
34Total number of tarts sold on Tuesday
= 4 u + 107 + 1 u
= 5 u + 107
5 u + 107 = 317
5 u = 317 - 107
5 u = 210
1 u = 210 ÷ 5 = 42
Total number of tarts sold on Monday
= 4 u + 107 + 4 u
= 8 u + 107
Total number of tarts sold on both days
= 5 u + 107 + 8 u + 107
= 13 u + 214
= 13 x 42 + 214
= 546 + 214
= 760
Total amount received from the sale of tarts on both days
= 760 x 5.20
= $3952
Answer(s): $3952