April bought some sports drinks and slices of pizza for her friend. she bought 3 more sports drinks than slices of pizza. if her total order was $21.25, how many sports drinks did she purchase?

Number of Sports drinks purchased is equal to 8

Step-by-step explanation:

Complete Question

April bought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her total order was 21.25, how many sports drinks did she purchase? one slice of pizza cost 2.25 and one sport drink cost 1.25

Solution -

Let the total number of slices of pizza's purchased be

Then the total number of sports drinks purchased would be

Given -

Price of one slice of pizza dollars

Price of one sports drinks dollars

The total cost of slices of pizza and sports drinks would be

Thus, the number of slices of pizza purchased is equal to

Hence, number of Sports drinks purchased is equal to

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168