Answer:
30 T-shirts
Step-by-step explanation:
Given system of equations:
a) y = 3x + 210
b) y = 10x
- x = the number of T-shirts
- y = the total cost
1. Substitute the given value of y into y = 3x + 210:
⇒ 10x = 3x + 210
2. Solve for x:
⇒ 10x = 3x + 210 [subtract 3x from both sides]
⇒ 10x - 3x = 3x - 3x + 210
⇒ 7x = 210 [divide both sides by 7]
⇒ 7x ÷ 7 = 210 ÷ 7
⇒ x = 30 (# of T-shirts)
3. Find the value of y by substituting the given value of x into y = 10x:
⇒ y = 10(30) [multiply]
⇒ y = 300 (total cost of the T-shirts)
4. Check your work:
a) y = 3x + 210
⇒ 300 = 3(30) + 210
⇒ 300 = 90 + 210
⇒ 300 = 300 ✔
b) y = 10x
⇒ 300 = 10(30)
⇒ 300 = 300 ✔
∴ Sam needs to sell 30 T-shirts to break even.
Learn more about system of equations here:
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