A vendor sells tacos and burritos. One family buys 3 tacos and 2 burritos for $9.25. Another family buys 7 tacos and 4 burritos
for $19.75. Find the cost of each item.
1 answer:
Answer:
Taco: $1.25
Burrito: $2.75
Step-by-step explanation:
Let x = tacos
y = burritos
Since the first family bought 2 burritos, we multiply y by 2; we multiply x by 3 since they bought 3 tacos.
3x + 2y = 9.25
We do basically the same thing for the other family
7x + 4y = 19.75
We'll use elimination method to solve this
7x + 4y = 19.75
3x + 2y = 9.25
Multiply the bottom equation by -2
7x + 4y = 19.75
(3x + 2y = 9.25)-2
7x + 4y = 19.75
-6x - 4y = -18.5
Now subtract the equations and we get this
x = 1.25
A taco costs $1.25
Plug the new x into one of the original equations
3(1.25) + 2y = 9.25
3.75 + 2y = 9.25
- 3.75 - 3.75
2y = 5.5
2y/2 = 5.5/2
y = 2.75
A burrito costs $2.75
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