# Girl Outfits For Sale

21Oct/090

## 4t Sisters

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?

*Thanks!*

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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