Bluebook SAT Test SAT Word Problems Practice 1

Question 1

A train travels at 60 miles per hour for 2.5 hours and then at 80 miles per hour for 1.5 hours. What is the total distance, in miles, the train traveled?

Accepted Answer

270

Answer

Total distance = (60 × 2.5) + (80 × 1.5) = 150 + 120 = 270 miles.

Question 2

A store sells notebooks for $3 each and pens for $1.50 each. Maria buys a total of 10 items and spends exactly $21. How many notebooks did she buy?

Accepted Answer

4

Answer

Let n = notebooks; n + p = 10 and 3n + 1.5p = 21. Substituting p = 10 − n gives 1.5n = 6, so n = 4.

Question 3

A solution is 20% salt by weight. How many grams of salt must be added to 200 grams of this solution to make it 25% salt?

Accepted Answer

13⅓

Answer

Initial salt = 40 g. Setting (40 + x)/(200 + x) = 0.25 gives 0.75x = 10, so x = 13⅓ grams.

Question 4

The sum of three consecutive even integers is 78. What is the largest of the three integers?

Accepted Answer

28

Answer

Let the integers be n, n+2, n+4; then 3n + 6 = 78, so n = 24, and the largest is 24 + 4 = 28.

Question 5

Carlos is 4 times as old as his daughter. In 6 years, he will be 3 times as old as she will be. How old is Carlos now?

Accepted Answer

48

Answer

Let daughter's age = d; Carlos = 4d. In 6 years: 4d + 6 = 3(d + 6) → d = 12. Carlos = 48.

Bluebook SAT Practice Test Practice Test

Bluebook SAT Practice Test Practice Test

Bluebook SAT Test SAT Word Problems Practice 1