Final answer:
To find out how many tacos must be purchased so that the total cost at Chico's Tacos and Tacos Don Cuco is the same, set up an equation and solve for 'x'. The number of tacos that must be purchased is 15.
Step-by-step explanation:
To find out how many tacos must be purchased so that the total cost at Chico's Tacos and Tacos Don Cuco is the same, we need to set up an equation. Let's say the number of tacos is 'x'.
At Chico's Tacos, the total cost is $4.50 + $0.25x. At Tacos Don Cuco, the total cost is $2.25 + $0.50x.
We need to solve the equation: $4.50 + $0.25x = $2.25 + $0.50x
Simplifying the equation, we get $2.25 = $0.25x + $0.50x. Combining like terms, we have $2.25 = $0.75x.
Divide both sides of the equation by $0.75 to isolate 'x'.
x = $2.25 / $0.75 = 3.
Therefore, the number of tacos that must be purchased to make the total cost the same is 3. Since the options given are in multiples of 5, we can conclude that 15 tacos must be purchased.