Tommy had some bags of mochi balls and some packets of caramel apples. Each bag contained 4 mochi balls and each packet contained 7 caramel apples. The total number of bags of mochi balls and packets of caramel apples that he had was 30. He had 133 less mochi balls than caramel apples. How many bags of mochi balls did Tommy have?
Number of packets of caramel apples |
Number of caramel apples |
Number of bags of mochi balls |
Number of mochi balls |
Less mochi balls than caramel apples |
30
|
30 x 7 = 210 |
0
|
0 x 4 = 0 |
210 - 0 = 210 |
29
|
29 x 7 = 203 |
1
|
1 x 4 = 4 |
203 - 4 = 199 |
23
|
23 x 7 = 161 |
7
|
7 x 4 = 28 |
161 - 28 = 133 |
Total number of packets of caramel apples if all are caramel apples
= 30 x 7
= 210
Big difference between the total number of caramel apples and mochi balls
= 210 - 133
= 77
Small difference between the number of caramel apples in one packet and the number of mochi balls in one bag
= 210 - 199
= 11
Number of bags of mochi balls
= 77 ÷ 11
= 7
Answer(s): 7