DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 89)

Problem 1 :

Alfred’s favorite drink is 2 parts lime juice to 5 parts raspberry soda. Jenny’s favorite drink is 1 part lime juice to 4 parts raspberry soda. If Jenny has a bottle containing 21 ounces of Alfred’s favorite drink, how many ounces of raspberry soda should she add it to get her favorite drink?

A)  6

B)  7

C)  8

D)  9

Solution :

Problem 2 :

In the figure above, ABCD is a square, where AE intersects BD at point F, and E is the midpoint of BC. If AB = 24, what is the length of DF?

A)  12

B)  12√2

C)  16

D)  16√2

Solution :

Problem 3 :

In the triangle above, AB = BC. What is the value of sin A?

A)  0.28

B)  0.56

C)  0.84

D)  0.96

Solution :

Problem 4 :

Solution A is 60% acid and solution B is 40% acid. Solving which of the following systems of equations gives the number of gallons of solution A, a, and the number of gallons of solution B, b, that should be mixed together to produce 100 gallons of a solution that is 55% acid?

A)              a + b = 100

        0.6a + 0.4b = 0.55

B)              a + b = 100

        0.6a + 0.4b = 100

C)              a + b = 100

        0.6a + 0.4b = 55

D)              a + b = 100

        0.4a + 0.6b = 0.55

Solution :

Problem 5 :

Mary runs around a circular track with a radius of 25 meters. If she runs at 75 meters per minute, how many minutes will it take her to run one lap around the track, rounded to the nearest integer?

Solution :

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