GMAT Quantitative Reasoning Practice Set 8

f(x) passes through the points (2, 7) and (-4, -5). g(x) passes through the points (4, -6) and (-8,0). What is f(g(f(6)))?

Last week Jason purchased ten gallons of gas. When he went to the station today, he noticed that the price had risen by 15 cents per gallon. His purchase of 8 gallons today brought the cost of both purchases to $69.42. How much was gas last week?

A tabletop measures 24 inches in length and 36 inches in width. It is being tiled using congruent right isosceles triangles with legs that are 1.5 inches in length. How many triangles will it take to completely tile the tabletop?

Eric, Dan, Mike, and Tony competed in the Academic Challenge.  Together they scored 50 points. Eric scored ⅓ more than Dan. Mike and Dan scored half the team points together. Tony scored 75% of what Dan scored. How many points did Mike score?

JuiceCo. makes a punch that is a combination of cranberry, pineapple, and orange juices. The ratio of the juices is  4:6:14, respectively. A mistake by a new employee caused the ratio of cranberry to pineapple juice to double, and the ratio of cranberry to orange juice to be halved. Of the 90 gallons produced, about how many gallons is cranberry juice?

Burgers at Burger Barn cost w dollars. The same burger costs 25% less at Burger Shack. How many burgers can be purchased for z dollars at Burger Shack?

Find the area of each sector

A college fair is held for students and parents in a gymnasium with a total of 435 guests. Assuming all guests are either a student or a parent, how many guests are students if the number of students is 20 more than two-thirds of the number of parents in attendance?