Ben had some bags of chocolate bars and some packets of sweets. Each bag contained 4 chocolate bars and each packet contained 6 sweets. The total number of bags of chocolate bars and packets of sweets that he had was 15. He had 45 less chocolate bars than sweets. How many bags of chocolate bars did Ben have?
Number of packets
of sweets |
Number of
sweets |
Number of bags
of chocolate bars |
Number of
chocolate bars |
Less chocolate bars
than sweets |
15
|
15 x 6 =
90 |
0
|
0 x 4 =
0 |
90 - 0 =
90 |
14
|
14 x 6 =
84 |
1
|
1 x 4 =
4 |
84 - 4 =
80 |
10.5
|
10.5 x 6 =
63 |
4.5
|
4.5 x 4 =
18 |
63 - 18 =
45 |
Total number of packets of sweets if all are sweets
= 15 x 6
= 90
Big difference between the total number of sweets and chocolate bars
= 90 - 45
= 45
Small difference between the number of sweets in one packet and the number of chocolate bars in one bag
= 90 - 80
= 10
Number of bags of chocolate bars
= 45 ÷ 10
= 4.5
Answer(s): 4.5
