DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 193)

Problem 1 :

5G + 45R = 380

At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won G green tokens and R red tokens worth a total of 380 points. The given equation represents this situation. How many more points is a red token worth than a green token?

Solution :

Problem 2 :

If 2^x = 4^y = 8^z and 1/2x + 1/4y + 1/4z = 4, then the value of x is

A)  7/19

B)  7/23

C)  7/17

D)  7/16

Solution :

Problem 3 :

If the median of the observations 7, 11, 2x – 1, 2x + 1, 23 and 29 written in ascending order is 18, the value of x is

A)  9

B)  6

C)  12

D)  15

Solution :

Problem 4 :

In an xy-plane, a line with the equation 2y = c for some constant c intersects a parabola at exactly one point. If the parabola has equation y = -2x² + 9x, what is the value of c?

Solution :

Problem 5 :

For a group of 25 or more people, a museum charges $21 per person for the first 25 people and $14 for each additional person. Which function f gives the total charge, in dollars, for a group with n people, where n ≥ 25?

A)  f(n) = 14n + 175

B)  f(n) = 14n + 525

C)  f(n) = 14n - 350

D)  f(n) = 14n + 21

Solution :

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