Question

At an ice cream shop, customers pay $3.00 for a medium ice cream plus $0.75 per topping. At a second ice cream shop, customers pay $5.25 for a medium ice cream plus $0.25 per topping. How many toppings would a customer have to order for the ice cream to cost the same at either shop?”

Answer 1

They are the same when they both buy 4.5 toppings.

Explanation:

y = 0.75x + 3

y = 0.25x + 5.25

y = 0.75(4.5) + 3

y = 3.375 + 3

y = 6.375

y = 0.25(4.5) + 5.25

y = 1.125 + 5.25

y = 6.375

Graph below ----

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Answer 2

0.75x + 3 = 0.25x + 5.25

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

0.75x + 3 = 0.25y + 5.25

Constants are $3 and $5.25 respectively