Answer:
Equation: 15n = 200 + 5n
Number of T-shirts: 20
Step-by-step explanation:
We need to find an expression for the costs for 1 day for making n number of T-shirts and an expression for the income for 1 day for selling n number of T-shirts. Then we set the expressions equal and solve for n, the number of T-shirts.
<u><em>Expenses in 1 day: </em></u>
The expenses are a fixed cost of $200 plus the cost per T-shirt.
$200 plus $5 per T-shirt
We need an expression for the cost per T-shirt in terms of n, the number of T-shirts.
If she makes 1 T-shirt, she spends $5 * 1.
If she makes 2 T-shirts, she spends $5 * 2.
If she makes n T-shirts, she spends $5 * n, or simply 5n.
Her total costs for a day are:
200 + 5n
<u><em>Income in 1 day:</em></u>
All the income comes from selling T-shirts.
She sells 1 T-shirt for $15 * 1.
She sells 2 T-shirts for $15 * 2.
She sells n T-shirts for $15 * n, or simply 15n
Her total income for 1 day is:
15n
Now we set the costs equal to the income and solve for n.
15n = 200 + 5n <--------- here is the equation you need
Subtract 5n from both sides.
10n = 200
Divide both sides by 10.
n = 20
Answer: She needs to sell 20 T-shirts.
