1. suppose you pay $24 for a pair of shoes that originally cost $40. what was the percent of decrease in price for the shoes? set up an equation, arrive at your answer, and check your work. then clearly state your answer 2. set up the following word problem as a proportion and solve. then write your answer as a complete sentence. a health department estimates that 6 vials of malaria serum will treat 100 people. at this rate, how many vials are required to treat 150 people?

1) The shoes were purchased at a 40% discount.

2) In order to treat 150 patients, the health department will require 9 vials of the malaria serum.

Step-by-step explanation:

1) If the original cost of the pair of shoes was $40, and you paid $24, then we want to set up a proportion to solve for the discounted percentage.

The discounted percentage is what you DID NOT pay, therefore we will find the amount of money saved first before setting up our proportion

$40 - $24 = $16

Meaning you did not pay that extra $16

Using that deficit, let's set up a proportion in terms of the total:

16/40 = 0.4

To find the percentage that was discounted we must multiply our proportion by 100%

0.4 *100% = 40%

Therefore, the shoes you had bought were on sale for 40% off.

2) If the health department expects 6 vials of malaria serum to treat 100 patients then our proportion of vials to patients becomes

6/100

To solve for how many vials will be required to treat 150 patients, we must equate our expected proportion to one with those 150 patients

6/100 = x/150          Where x denotes the number of vials needed.

                                Multiply both sides by 150 to isolate x

900/100 = x             Reduce the fraction

9 = x

Therefore, in order to treat 150 patients, the health department will require 9 vials of the malaria serum.

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step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

y = i/2 xtnop + (3i/2 tnop+ 1)

step-by-step explanation:

the picture is the step by step explanation.