How do you solve this math problem?
I'm helping my little sister with her math homework, and neither of us can figure this problem out.
Here it is:
Two groups of students order burritos and tacos at a local restaurant. One orders of 3 burritos and 4 tacos costs $11.33. The other order of 9 burritos and 5 tacos costs $23.56. Solve using elimination to find the cost of the burrito and the cost of the taco.
This is how far we've gotten:
3b + 4t = 11.33
9b + 5t = 23.56
How would you finish solving it?
Firstly, elimination means exactly what it sounds like: Alter one equation so that a variable can be canceled from both.
Multiply 3b + 4t = 11.33 by -3
-9b -12t = -33.99
and add to 9b + 5t = 23.56
You get: -7t = -10.43
Divide by -7 on both sides: t = $1.49
Substitute your t value back to either of the original equations:
3b + 4(1.49) = 11.33
3b + 5.96 = 11.33
3b = 5.37
b = $1.79
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