Question

The middle school basketball team is selling t-shirts for $12.50 each to raise money for new uniforms. They have already sold 40 t-shirts. If they need to raise a total of at least $850 how many more t-shirts does the team need to sel2 Oxs 28 O x2 108 Ox228 0 X 108

Answer 1

Let x represent the number of t shirts that the team needs to sell.

We were told that each T shirt costs $12.5. This means that the cost of x T shirts would be $12.5x

If they need to raise a total of at least $850, it means that the amount that they need to raise must be greater than or equal to $850. Given that they have already sold 40 t-shirts, the amount made from 40 T shirts is 40 * 12.5 = $500.

The inequality representing this situation would be

`\begin{gathered} 12.5x\text{ + 500 }\ge\text{ 850} \\ 12.5x\text{ }\ge\text{ 850 - 500} \\ 12.5x\text{ }\ge\text{ 350} \\ x\text{ }\ge(350)/(12.5) \\ x\text{ }\ge28 \end{gathered}`

The number of shirts must be greater than or equal 28