Vaidev had some bags of candy canes and some packets of sweets. Each bag contained 5 candy canes and each packet contained 8 sweets. The total number of bags of candy canes and packets of sweets that he had was 25. He had 76.5 less candy canes than sweets. How many bags of candy canes did Vaidev have?
Number of packets
of sweets |
Number of
sweets |
Number of bags
of candy canes |
Number of
candy canes |
Less candy canes
than sweets |
25
|
25 x 8 =
200 |
0
|
0 x 5 =
0 |
200 - 0 =
200 |
24
|
24 x 8 =
192 |
1
|
1 x 5 =
5 |
192 - 5 =
187 |
15.5
|
15.5 x 8 =
124 |
9.5
|
9.5 x 5 =
47.5 |
124 - 47.5 =
76.5 |
Total number of packets of sweets if all are sweets
= 25 x 8
= 200
Big difference between the total number of sweets and candy canes
= 200 - 76.5
= 123.5
Small difference between the number of sweets in one packet and the number of candy canes in one bag
= 200 - 187
= 13
Number of bags of candy canes
= 123.5 ÷ 13
= 9.5
Answer(s): 9.5
