Warren had some bags of lollipops and some packets of sweets. Each bag contained 6 lollipops and each packet contained 7 sweets. The total number of bags of lollipops and packets of sweets that he had was 45. He had 35.5 less lollipops than sweets. How many bags of lollipops did Warren have?
Number of packets
of sweets |
Number of
sweets |
Number of bags
of lollipops |
Number of
lollipops |
Less lollipops
than sweets |
45
|
45 x 7 =
315 |
0
|
0 x 6 =
0 |
315 - 0 =
315 |
44
|
44 x 7 =
308 |
1
|
1 x 6 =
6 |
308 - 6 =
302 |
23.5
|
23.5 x 7 =
164.5 |
21.5
|
21.5 x 6 =
129 |
164.5 - 129 =
35.5 |
Total number of packets of sweets if all are sweets
= 45 x 7
= 315
Big difference between the total number of sweets and lollipops
= 315 - 35.5
= 279.5
Small difference between the number of sweets in one packet and the number of lollipops in one bag
= 315 - 302
= 13
Number of bags of lollipops
= 279.5 ÷ 13
= 21.5
Answer(s): 21.5
