Help me- Proportions

A store has T-shirts on slae at 2 for $5.50. At this rate, what do five T-shirts cost?

2/5.50 = 5/x

5.50 x 5 = 27.5

27.5 divided by 2 will gove you your answer.

Another way to do it would be 5.50 divided by 2 to find the price of one t-shirt, then that number times 5.

To find out how much five T-shirts would cost at the given rate, we need to use proportions. Proportions are mathematical expressions that show equality between two ratios. In this case, we will use the ratio of the number of T-shirts to the cost.

Let's set up a proportion to solve the problem:
2 T-shirts cost $5.50, so we can write the ratio as 2/5.50 (2 T-shirts / $5.50).

Now, we need to find out how much five T-shirts would cost. Let's represent the cost of five T-shirts as x.

The proportion we can set up is:
2/5.50 = 5/x

To solve this proportion, we can use cross-multiplication. Multiply the numerator of the first ratio (2) by the denominator of the second ratio (x), and multiply the denominator of the first ratio (5.50) by the numerator of the second ratio (5). Set these two products equal to each other and solve for x.

2x = 5 * 5.50

2x = 27.50

To isolate x, divide both sides of the equation by 2:

x = 27.50 / 2

x = 13.75

Therefore, five T-shirts would cost $13.75.