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Attend to Precision An ice cream shop owner considers two pricing options for
serving a cup of ice cream plus toppings $3 for the ice cream and $0.75 per topping or
$4.50 for the ice cream and $0.50 per topping. For how many toppings will the price of
the ice cream cups be the same? What is that price?

Respuesta :

semsee45

Answer:

6 toppings

$7.50

Step-by-step explanation:

let t = topping

Option 1 = 3 + 0.75t

Option 2 = 4.50 + 0.5t

Equate the equations and solve for t:

3 + 0.75t = 4.50 + 0.5t

Subtract 3 from both sides:  0.75t = 1.5 + 0.5t

Subtract 0.5t from both sides:  0.25t = 1.5

Divide both sides by 0.25:  t = 6

Therefore, the price of the ice cream cups wil be the same for 6 toppings.

Substitute t = 6 into one of the equations for the price:

price = 3 + (0.75 x 6) = 3 + 4.5 = $7.50

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