Andrew is working for his mother's company this summer. He gets paid $0.31 for every 4 words he types. If he wants to earn $175 this summer, how many words will he need to type? Round to the nearest whole number.

2,258

Step-by-step explanation:

4 words = $0.31

=

cross multiple and solve for x

0.31x = (175)(4)

x = about 2,258

add an image

step-by-step explanation:

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