Question

Megan's income is $10, and she spends it on chalk and paint. Chalk costs $1 per pack, and paint costs $3 per container. How much of each can she purchase given her income?

Answer 1

Megan can purchase 10 chalk packs and 0 paint containers with her $10 income.

Step-by-step explanation:

To determine how much of each Megan can purchase, we need to set up a system of equations. Let's use the variables x and y to represent the number of chalk packs and paint containers, respectively.
From the information given, we know that chalk costs $1 per pack and paint costs $3 per container. Megan's total income is $10.
So, we can write the following equations:
x + y = 10 (equation 1)
1x + 3y = 10 (equation 2)
Now, we can solve these equations simultaneously. Multiplying equation 1 by -1, we get:
-x - y = -10 (equation 3)
1x + 3y = 10 (equation 2)
Adding equations 3 and 2, we eliminate the x terms:
2y = 0
y = 0
Substituting y = 0 back into equation 1, we find:
x + 0 = 10
x = 10
Therefore, Megan can purchase 10 chalk packs and 0 paint containers with her $10 income.