Answer:
Exact answer not possible: See below.
Step-by-step explanation:
The total that Tammy would pay is the sum of 2A and 5B, where A and B are the number of candies costing $2 and $5, respectively. Therefore:
2A + 2B = Total Spent
We are told Tammy spent <u>at least</u> $75, which can be written as "Total Spent > $75."
The equation becomes 2A + 5B > 75
Rearranging:
2A + 5B > 75
2A > 75 - 5B
A > (75 - 5B)/2
To find the maximum of the candy A bought, one can try different values of A and B that result in a total of at least $75. If the amount spent were $75 exactly, a solution would be 35 A (for $70), leaving $5 for 1 candy B. But we don't know the exact amount. The problems states "at least $75." As far as we know, Tammy may have spent $105, $405, $1,005, or even $4,005 (200 A and 1 B). One cannot pick a maximum simply since the maximum spent is not defined. The next possible value above $75 would be $77, which represents 36 A and 1 B candies.
