Question

Carissa went to the candy store and wanted to use the dimensional analysis she had learned in class that day. She only had a certain amount of money to spend. In terms of price, she figured out the following conversion factors:

5 lollipops = 4 gumballs

10 gumballs = 7 lemonheads

19 lemonheads = 13 redhots

If Carissa knows she could buy 17 lollipops, how many redhots could she buy for the same amount of money?

Answer 1

Answer: she would be able to buy at least 6 redhots for the same amount of money.

Explanation:

In terms of price, the conversion factors that she figured are:

5 lollipops = 4 gumballs

10 gumballs = 7 lemonheads

19 lemonheads = 13 redhots

If Carissa knows she could buy 17 lollipops, then the number of gumballs that she could buy would be

(17 × 4)/5 = 13.6 gumballs

If 10 gumballs would buy 7 lemonheads, then 13.6 gumballs would buy

(13.6 × 7)/10 = 9.52 lemonheads

If 19 lemonheads would buy 13 redhots, then 9.52 lemonheads would by

(9.52 × 13)/19 = 6.5 redhots