You and a friend went to Taco Bell for lunch. You ordered 3 soft tacos and 3 burritos for $11.25. Your friend ordered 4 soft ta

Question

You and a friend went to Taco Bell for lunch.
You ordered 3 soft tacos and 3 burritos for
$11.25. Your friend ordered 4 soft tacos and
2 burritos for $10. How much do soft tacos cost?
How much do burritos cost

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Khang Minh 5 years 2021-07-22T16:14:06+00:00 1 Answers 33 views 0

Answers ( )

  1. Dau
    0
    2021-07-22T16:15:56+00:00
    Reply

    Let’s make a pair of equations, one for what you ordered, one for what your friend ordered. We’ll have x represent soft tacos and y represent burritos.

    Your order: 3x + 3y = 11.25

    Your friend’s order: 4x + 2y = 10

    The first thing I gather using the information above is that burritos are more expensive then tacos, right? Your order is more expensive, with 1 less taco and 1 more burrito than your friend’s. But now we need to find out just how much more burritos cost.

    To do that, pick an equation and simplify it for either x or y. I’ll choose the second equation, because it has a simpler answer. Let’s see what y equals for that one.
    2y = 10 – 4x
    y = 5 – 2x

    Burritos cost 5 minus the cost of two tacos. Just replace y with this in our other equation.
    3x + 3(5-2x) = 11.25
    Use the distributive property.
    3x + 15 – 6x = 11.25
    15 – 3x = 11.25
    -3x = -3.75
    3x = 3.75
    One taco costs $1.25
    It’s easy to find out what the other variable equals once you have one already. Just pick either of the equations and know how much a taco costs. I’ll jump back to the second one.

    4(1.25) + 2y = 10
    5 + 2y = 10
    2y = 5
    y = 2.5

    As predicted, burritos cost more. One taco costs $1.25. One burrito costs $2.50. With problems like these, you can always double-check the answers if you’d like. Just plug in the numbers.

    My answer is correct, though 🙂

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