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Gab sold 65 tickets. Gab sold 25 less than two times Pat sold. Pat sold 30 more than joe. How many ticket did they sell?

Gab sold 65 tickets. Gab sold 25 less than two times Pat sold. Pat sold 30 more than joe. How many ticket did they sell?

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Terri M. | Experienced & Trustworthy Math TutorExperienced & Trustworthy Math Tutor
4.9 4.9 (192 lesson ratings) (192)
1

Gab's tickets = G = 65

Pat's tickets = P = x

Joe's tickets = J = y

1) Gab sold 25 less than two times Pat sold: G = 2x - 25 (but G = 65)

2) Pat sold 30 more than Joe: x = y + 30

From equation (1), 65 = 2x - 25 ==> 90 = 2x ==> x = 45

From above and equation (2), 45 = y + 30 ==> y = 15

Gab sold 65, Pat sold 45, and Joe sold 15 so they sold 125 in total.