Question

(HELP ASAP PLEASE)

Zoe often orders party trays from her favorite Mexican food restaurant for company events. For a recent company party, she spent $239 on 4 burrito platters and 5 taco platters. For a company meeting, she spent $208 on 3 burrito platters and 5 taco platters. How much does each type of platter cost?

Each burrito platter costs $___ and each taco platter costs $___ .

Answer 1

Each burrito platter costs $_31_ and each taco platter costs $_23__ .

Explanation:

Let's first express both orders into equations. Let's simply use b for the burritos platters and t for the tacos platters:

4b + 5t = 239

3b + 5t = 208

We can use the subtraction method easily on this one:

4b + 5t = 239

-

3b + 5t = 208

==============

1b + 0t = 31

b = 31

So, the burrito platters ost $31 each.

Now, let's find how much are the tacos ones. Just take the first equation:

4(31) + 5t = 239

124 + 5t = 239

5t = 115

t = 23

Taco platters cost $23.

Let's test that with the second equation:

3b + 5t = 208

3(31) + 5(23) = 208

93 + 115 = 208

208 = 208

Verified!