Answer:
Number of hamburgers bought = 4
Number of hotdogs bought = 9
Step-by-step explanation:
Let
Number of hamburgers bought = n
Number of hotdogs bought = n + 5
Hamburgers cost = $6.25
Hotdogs cost = $3.75
Total cost = $58.75
6.25n + 3.75(n + 5) = 58.75
Open parenthesis
6.25n + 3.75n + 18.75 = 58.75
Collect like terms
6.25n + 3.75n = 58.75 - 18.75
10n = 40
Divide both sides by 10
n = 40 / 10
= 4
n = 4
Number of hamburgers bought = n = 4
Number of hotdogs bought = n + 5
= 4 + 5
= 9