Mark had some bags of sweets and some packets of mochi balls. Each bag contained 4 sweets and each packet contained 8 mochi balls. The total number of bags of sweets and packets of mochi balls that he had was 25. He had 122 more mochi balls than sweets. How many bags of sweets did Mark have?
Number of packets
of mochi balls |
Number of
mochi balls |
Number of bags
of sweets |
Number of
sweets |
More mochi balls
than sweets |
25
|
25 x 8 =
200 |
0
|
0 x 4 =
0 |
200 - 0 =
200 |
24
|
24 x 8 =
192 |
1
|
1 x 4 =
4 |
192 - 4 =
188 |
18.5
|
18.5 x 8 =
148 |
6.5
|
6.5 x 4 =
26 |
148 - 26 =
122 |
Total number of packets of mochi balls if all are mochi balls
= 25 x 8
= 200
Big difference between the total number of mochi balls and sweets
= 200 - 122
= 78
Small difference between the number of mochi balls in one packet and the number of sweets in one bag
= 200 - 188
= 12
Number of bags of sweets
= 78 ÷ 12
= 6.5
Answer(s): 6.5
