DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 112)

Problem 1 :

The product of a positive number x and the number that is 4 less than twice  x is 390. What is the value of x?

Solution :

Problem 2 :

If the ratio of A to B is 10 : 3 and the ratio of A to C is 3 : 1, what is the ratio of B to C?

Solution :

Problem 3 :

In the figure above, O is the center of the circle with radius r, and the measure of θ is π/5 radians. If the length of the minor arc AB is 3π, What is the value of r ?

Solution :

Problem 4 :

In a certain class of 70 students, 4/7 of the students are boys, and the ratio of students 10 years or older to students less than 10 years is 2 : 3. If 2/3 of the girls are less than 10 years old, how many boys are 10 years old or older? 

Solution :

Problem 5 :

During Labor Day sale, a store advertises that $40 will be deducted from every purchase over $200. In addition, after the deduction is taken, the store offers an early-bird discount of 40% to any person who makes a purchase before 9 a.m. If Claire makes a purchase of k dollars, k > 200 at 8 a.m., which of the following expressions represents the cost of her purchase?

A)  0.4k – 16

B)  0.4k – 24

C)  0.6k – 24

D)  0.6k - 40

Solution :

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