Cindy and Jose were in charge of selling tickets to the class play. Cindy sold 40 tickets and Jose sold 28 tickets. What is the ratio of the number of tickets Cindy sold to the total number of tickets sold?

Let a and c be adult tickets and children's tickets, respectively. Then:

8a+5c=177.50

12a+6c=255.00

24a+15c=532.50

Step-by-step explanation:24a+12c=510.00

3c=22.50

c=7.50

Then solve for a

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34

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