Andy had some bags of mini cupcakes and some packets of mochi balls. Each bag contained 4 mini cupcakes and each packet contained 6 mochi balls. The total number of bags of mini cupcakes and packets of mochi balls that he had was 30. He had 100 more mochi balls than mini cupcakes. How many bags of mini cupcakes did Andy have?
Number of packets of mochi balls |
Number of mochi balls |
Number of bags of mini cupcakes |
Number of mini cupcakes |
More mochi balls than mini cupcakes |
30
|
30 x 6 = 180 |
0
|
0 x 4 = 0 |
180 - 0 = 180 |
29
|
29 x 6 = 174 |
1
|
1 x 4 = 4 |
174 - 4 = 170 |
22
|
22 x 6 = 132 |
8
|
8 x 4 = 32 |
132 - 32 = 100 |
Total number of packets of mochi balls if all are mochi balls
= 30 x 6
= 180
Big difference between the total number of mochi balls and mini cupcakes
= 180 - 100
= 80
Small difference between the number of mochi balls in one packet and the number of mini cupcakes in one bag
= 180 - 170
= 10
Number of bags of mini cupcakes
= 80 ÷ 10
= 8
Answer(s): 8