DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 51)

Problem 1 :

A bakery gave out coupons to celebrate its grand opening. Each coupon was worth either $1, $3 or $5. Twice as many $1 coupons were given out as $3 coupons and 3 times as many $3 coupons were given out as $5 coupons. The total value of all the coupons given out was $360. How many $3 coupons were given out?

A)  40

B)  45

C)  48

D)  54

Solution :

Problem 2 :

3x + b = 5x - 7

3y + c = 5y - 7

In the equations above, b and c are constants. If b is c minus ½, which of the following is true?

A)  x is y minus ¼

B)  x is y minus ½

C)  x is y minus 1

D)  x is y plus ½

Solution :

Problem 3 :

(4x + 4)(ax – 1) – x² + 4

In the expression above, a is a constant. If the expression is equivalent to bx, where b is a constant, what is the value of b?

A)  -5

B)  -3

C)  0

D)  12

Solution :

Problem 4 :

If (x, y) is the solution to the system of equations above, what is the value of y?

Solution :

Problem 5 :

mx – 6y = 10

2x – ny = 5

In the system of equations above, m and n are constants. If the system has infinitely many solutions, what is the value of m/n?

Solution :

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