George had some bags of lollipops and some packets of candy canes. Each bag contained 6 lollipops and each packet contained 7 candy canes. The total number of bags of lollipops and packets of candy canes that he had was 40. He had 33 more candy canes than lollipops. How many bags of lollipops did George have?
Number of packets
of candy canes |
Number of
candy canes |
Number of bags
of lollipops |
Number of
lollipops |
More candy canes
than lollipops |
40
|
40 x 7 =
280 |
0
|
0 x 6 =
0 |
280 - 0 =
280 |
39
|
39 x 7 =
273 |
1
|
1 x 6 =
6 |
273 - 6 =
267 |
21
|
21 x 7 =
147 |
19
|
19 x 6 =
114 |
147 - 114 =
33 |
Total number of packets of candy canes if all are candy canes
= 40 x 7
= 280
Big difference between the total number of candy canes and lollipops
= 280 - 33
= 247
Small difference between the number of candy canes in one packet and the number of lollipops in one bag
= 280 - 267
= 13
Number of bags of lollipops
= 247 ÷ 13
= 19
Answer(s): 19
