Michael had some bags of sweets and some packets of candy canes. Each bag contained 5 sweets and each packet contained 7 candy canes. The total number of bags of sweets and packets of candy canes that he had was 35. He had 59 more candy canes than sweets. How many bags of sweets did Michael have?
Number of packets
of candy canes |
Number of
candy canes |
Number of bags
of sweets |
Number of
sweets |
More candy canes
than sweets |
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 |
19.5
|
19.5 x 7 =
136.5 |
15.5
|
15.5 x 5 =
77.5 |
136.5 - 77.5 =
59 |
Total number of packets of candy canes if all are candy canes
= 35 x 7
= 245
Big difference between the total number of candy canes and sweets
= 245 - 59
= 186
Small difference between the number of candy canes in one packet and the number of sweets in one bag
= 245 - 233
= 12
Number of bags of sweets
= 186 ÷ 12
= 15.5
Answer(s): 15.5
