Rael had some bags of sweets and some packets of lollipops. Each bag contained 6 sweets and each packet contained 8 lollipops. The total number of bags of sweets and packets of lollipops that he had was 25. He had 95 more lollipops than sweets. How many bags of sweets did Rael have?
Number of packets
of lollipops |
Number of
lollipops |
Number of bags
of sweets |
Number of
sweets |
More lollipops
than sweets |
25
|
25 x 8 =
200 |
0
|
0 x 6 =
0 |
200 - 0 =
200 |
24
|
24 x 8 =
192 |
1
|
1 x 6 =
6 |
192 - 6 =
186 |
17.5
|
17.5 x 8 =
140 |
7.5
|
7.5 x 6 =
45 |
140 - 45 =
95 |
Total number of packets of lollipops if all are lollipops
= 25 x 8
= 200
Big difference between the total number of lollipops and sweets
= 200 - 95
= 105
Small difference between the number of lollipops in one packet and the number of sweets in one bag
= 200 - 186
= 14
Number of bags of sweets
= 105 ÷ 14
= 7.5
Answer(s): 7.5
