Question

The science club sells T-shirts for $10 each and key chains for $2 each in a fundraiser with a $500 goal. How many T-shirts and key chains could they sell to meet or exceed their goal?

Answer 1

To meet or exceed their goal of $500, the science club needs to sell a combination of T-shirts and key chains. Using algebra, we can set up an equation to find the possible combinations of T-shirts and key chains that would meet or exceed the goal.

Step-by-step explanation:

To meet or exceed their goal of $500, the science club needs to sell a combination of T-shirts and key chains. Let's use algebra to solve the problem. Let t represent the number of T-shirts sold and k represent the number of key chains sold.

We can set up the following equation: 10t + 2k >= 500. This equation represents the total revenue earned from selling T-shirts (10t) and key chains (2k) being equal to or greater than the goal of $500.

Now, let's find the possible combinations of T-shirts and key chains that satisfy this equation. We can start with t = 0 and increment t by 1 while solving for k. If we find positive integer values for t and k, then that combination of T-shirts and key chains would meet or exceed the goal.

Answer 2

20 tshirts and 150 keychains

Step-by-step explanation:

let tshirts be 10x and keychains be 2y

now make a Quadratic equation,

10x+2y=500

=let x = 20

=(10×20)+2y=500

=200+2y=500

=2y=300

y=300/2 = 150

therefore 20 tshirts and 150 keychains sumsup their goal of 500 dollars