Andy had some bags of candy canes and some packets of lollipops. Each bag contained 4 candy canes and each packet contained 7 lollipops. The total number of bags of candy canes and packets of lollipops that he had was 40. He had 126 less candy canes than lollipops. How many bags of candy canes did Andy have?
Number of packets
of lollipops |
Number of
lollipops |
Number of bags
of candy canes |
Number of
candy canes |
Less candy canes
than lollipops |
40
|
40 x 7 =
280 |
0
|
0 x 4 =
0 |
280 - 0 =
280 |
39
|
39 x 7 =
273 |
1
|
1 x 4 =
4 |
273 - 4 =
269 |
26
|
26 x 7 =
182 |
14
|
14 x 4 =
56 |
182 - 56 =
126 |
Total number of packets of lollipops if all are lollipops
= 40 x 7
= 280
Big difference between the total number of lollipops and candy canes
= 280 - 126
= 154
Small difference between the number of lollipops in one packet and the number of candy canes in one bag
= 280 - 269
= 11
Number of bags of candy canes
= 154 ÷ 11
= 14
Answer(s): 14
