Question

The taco truck sells tacos for $3 and burritos for $4. The number of items sold on a Tuesday is 125 with a total income of $430. How many tacos were sold?

Answer 1

This is a system of equations problem. We can set up the equations as follows:

3x + 4y = 430 (1)

x + y = 125 (2)

Where x is the number of tacos sold and y is the number of burritos sold.

We can solve for x in equation (2) by subtracting y from both sides:

x = 125 - y

Now we can substitute this expression for x into equation (1):

3(125 - y) + 4y = 430

375 - 3y + 4y = 430

3y + 4y = 430 - 375

y = 55

So, 55 burritos were sold on Tuesday. To find the number of tacos sold, we can use equation (2) and substitute in the value we found for y:

x + 55 = 125

x = 70

Therefore, 70 tacos were sold on Tuesday.