Question

In Iowa, companies pay $0.05 for each returned aluminum can and $0.15 for each returned glass bottle Jeremy returned 98 and received a total of $11.90 How many aluminum cans did he return? A. 54 aluminum cans B. 60 aluminum cans C. 62 aluminum cans D. 66 aluminum cans

Answer 1

Jeremy returned 28 aluminum cans.

Step-by-step explanation:

To find the number of aluminum cans Jeremy returned, we can set up a system of equations based on the given information.

Let A be the number of aluminum cans and G be the number of glass bottles.

We know that A + G = 98 (equation 1) and that 0.05A + 0.15G = 11.90 (equation 2).

We can solve this system of equations to find the values of A and G:

1. From equation 1, we can solve for G by substituting G = 98 - A.
2. Substitute this value of G in equation 2: 0.05A + 0.15(98 - A) = 11.90.
3. Simplify the equation: 0.05A + 14.70 - 0.15A = 11.90.
4. Combine like terms: -0.10A = -2.80.
5. Divide both sides by -0.10: A = 28.

Jeremy returned 28 aluminum cans.

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