Will give Brainliest Beth is working in the concession stand during a football game. Each hot dog sells for $6 and a soda is $4. At the end of the first half, Elizabeth sold 46 items, and made $118. How many hot dogs and sodas did she sell?

Write your answer in a complete sentence.

Use systems of equations to find your answer.

Both equations are correct - 4 points

Math to get answer is all shown and is correct - 4 points

Sentence answer - 2 points

Straightforward: 70 + 48 or 72 + 46

With other ways: below ↓

Make a ratio and increase.

6:4

Find the least common multiples.

72:48

Next, take these 2 out of ratio form and add them together.

72

+48

120

Since the closest we get is 120...

We must change the LCM'S to get the true number. Either way, it will work if you reduce 48 by 2, or 72 by 2. Same answer.

Therefore,

Our problem answer can be seen as the original ratio, but modified, 72:48 or simply 70 + 48. For the ratio to be correct, you would have to factorize the least common multiples and re-add. I would not recommend this.