Elijah had some bags of lollipops and some packets of chocolate bars. Each bag contained 6 lollipops and each packet contained 7 chocolate bars. The total number of bags of lollipops and packets of chocolate bars that he had was 35. He had 30.5 less lollipops than chocolate bars. How many bags of lollipops did Elijah have?
Number of packets
of chocolate bars |
Number of
chocolate bars |
Number of bags
of lollipops |
Number of
lollipops |
Less lollipops
than chocolate bars |
35
|
35 x 7 =
245 |
0
|
0 x 6 =
0 |
245 - 0 =
245 |
34
|
34 x 7 =
238 |
1
|
1 x 6 =
6 |
238 - 6 =
232 |
18.5
|
18.5 x 7 =
129.5 |
16.5
|
16.5 x 6 =
99 |
129.5 - 99 =
30.5 |
Total number of packets of chocolate bars if all are chocolate bars
= 35 x 7
= 245
Big difference between the total number of chocolate bars and lollipops
= 245 - 30.5
= 214.5
Small difference between the number of chocolate bars in one packet and the number of lollipops in one bag
= 245 - 232
= 13
Number of bags of lollipops
= 214.5 ÷ 13
= 16.5
Answer(s): 16.5
