Billy had some bags of mochi balls and some packets of caramel apples. Each bag contained 5 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 35. He had 83 more caramel apples than mochi balls. How many bags of mochi balls did Billy have?
Number of packets
of caramel apples |
Number of
caramel apples |
Number of bags
of mochi balls |
Number of
mochi balls |
More caramel apples
than mochi balls |
35
|
35 x 7 =
245 |
0
|
0 x 5 =
0 |
245 - 0 =
245 |
34
|
34 x 7 =
238 |
1
|
1 x 5 =
5 |
238 - 5 =
233 |
21.5
|
21.5 x 7 =
150.5 |
13.5
|
13.5 x 5 =
67.5 |
150.5 - 67.5 =
83 |
Total number of packets of caramel apples if all are caramel apples
= 35 x 7
= 245
Big difference between the total number of caramel apples and mochi balls
= 245 - 83
= 162
Small difference between the number of caramel apples in one packet and the number of mochi balls in one bag
= 245 - 233
= 12
Number of bags of mochi balls
= 162 ÷ 12
= 13.5
Answer(s): 13.5
