Japheth had some bags of sweets and some packets of candy canes. Each bag contained 4 sweets and each packet contained 5 candy canes. The total number of bags of sweets and packets of candy canes that he had was 35. He had 80.5 less sweets than candy canes. How many bags of sweets did Japheth have?
Number of packets
of candy canes |
Number of
candy canes |
Number of bags
of sweets |
Number of
sweets |
Less sweets
than candy canes |
35
|
35 x 5 =
175 |
0
|
0 x 4 =
0 |
175 - 0 =
175 |
34
|
34 x 5 =
170 |
1
|
1 x 4 =
4 |
170 - 4 =
166 |
24.5
|
24.5 x 5 =
122.5 |
10.5
|
10.5 x 4 =
42 |
122.5 - 42 =
80.5 |
Total number of packets of candy canes if all are candy canes
= 35 x 5
= 175
Big difference between the total number of candy canes and sweets
= 175 - 80.5
= 94.5
Small difference between the number of candy canes in one packet and the number of sweets in one bag
= 175 - 166
= 9
Number of bags of sweets
= 94.5 ÷ 9
= 10.5
Answer(s): 10.5
