The student council at Greenwood High School is selling T-shirts for $20 apiece. Their costs are $5 per shirt, plus $45 for supplies. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts do they need to sell to break even? How much in costs will they have incurred at that point?The student council needs to sell ____ T-shirts to break even. At that point, they will have incurred $____ in costs and collected the same amount in sales.
Q. The student council at Greenwood High School is selling T-shirts for $20 apiece. Their costs are $5 per shirt, plus $45 for supplies. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts do they need to sell to break even? How much in costs will they have incurred at that point?The student council needs to sell ____ T-shirts to break even. At that point, they will have incurred $____ in costs and collected the same amount in sales.
Calculate Cost and Fixed Costs: Calculate the cost per shirt and total fixed costs.Cost per shirt = $5, Fixed costs = $45.Total cost for x shirts = 5x+45.
Set Up Break-Even Equation: Set up the equation to find the break-even point where total costs equal total sales.Total sales for x shirts = 20x.Equation: 20x=5x+45.
Solve for Break-Even Point: Solve the equation for x.20x=5x+4515x=45x=1545x=3
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