Xavier had some bags of chocolate bars and some packets of lollipops. Each bag contained 5 chocolate bars and each packet contained 6 lollipops. The total number of bags of chocolate bars and packets of lollipops that he had was 50. He had 91 more lollipops than chocolate bars. How many bags of chocolate bars did Xavier have?
Number of packets
of lollipops |
Number of
lollipops |
Number of bags
of chocolate bars |
Number of
chocolate bars |
More lollipops
than chocolate bars |
50
|
50 x 6 =
300 |
0
|
0 x 5 =
0 |
300 - 0 =
300 |
49
|
49 x 6 =
294 |
1
|
1 x 5 =
5 |
294 - 5 =
289 |
31
|
31 x 6 =
186 |
19
|
19 x 5 =
95 |
186 - 95 =
91 |
Total number of packets of lollipops if all are lollipops
= 50 x 6
= 300
Big difference between the total number of lollipops and chocolate bars
= 300 - 91
= 209
Small difference between the number of lollipops in one packet and the number of chocolate bars in one bag
= 300 - 289
= 11
Number of bags of chocolate bars
= 209 ÷ 11
= 19
Answer(s): 19
