Wesley had some bags of sweets and some packets of mini cupcakes. Each bag contained 6 sweets and each packet contained 7 mini cupcakes. The total number of bags of sweets and packets of mini cupcakes that he had was 20. He had 36 more mini cupcakes than sweets. How many bags of sweets did Wesley have?
Number of packets of mini cupcakes |
Number of mini cupcakes |
Number of bags of sweets |
Number of sweets |
More mini cupcakes than sweets |
20
|
20 x 7 = 140 |
0
|
0 x 6 = 0 |
140 - 0 = 140 |
19
|
19 x 7 = 133 |
1
|
1 x 6 = 6 |
133 - 6 = 127 |
12
|
12 x 7 = 84 |
8
|
8 x 6 = 48 |
84 - 48 = 36 |
Total number of packets of mini cupcakes if all are mini cupcakes
= 20 x 7
= 140
Big difference between the total number of mini cupcakes and sweets
= 140 - 36
= 104
Small difference between the number of mini cupcakes in one packet and the number of sweets in one bag
= 140 - 127
= 13
Number of bags of sweets
= 104 ÷ 13
= 8
Answer(s): 8