Math 1 A REI 6

A metal alloy is 35% copper. Another metal alloy is 50% copper. How much of each alloy should be used to make 600 grams of a metal alloy that is 45% copper?

• 180 grams of the 35% copper alloy and 420 grams of the 50% copper alloy

• 190 grams of the 35% copper alloy and 410 grams of the 50% copper alloy

• 200 grams of the 35% copper alloy and 400 grams of the 50% copper alloy

• 210 grams of the 35% copper alloy and 390 grams of the 50% copper alloy

Joe and Charlie ate at the same restaurant. Joe bought 4 hamburgers and 2 sodas for $12.50. Charlie bought 3 hamburgers and 3 sodas for $11.25. What was the price of one hamburger?

• $1.25

• $1.50

• $2.25

• $2.50

A barbershop purchased 15 hair brushes and 5 blow dryers for $215. The barbershop then purchased 5 more hair brushes and 7 more blow dryers from the same company for $189. How much does one blow dryer cost?

• $7

• $17

• $22

• $26

John bought 8 hot dogs and 5 sodas for $25.50. Alicia bought 4 hot dogs and 3 sodas for $13.50. How much would 1 hot dog and 1 soda cost?

• $4.50

• $4.25

• $4.00

• $3.75

Marcus buys 2 hamburgers and 3 drinks for $8.75. Pam buys 4 hamburgers and 2 drinks for $12.50. How much does 1 hamburger cost?

• $1.25

• $1.75

• $2.25

• $2.50

A system of equations is shown below. 7x - 4y = 0 2x + 7y = 57 What is the y-value in the solution to the system?

• 0

• 2

• 4

• 7

A movie theater sells small and large boxes of popcorn. - A small box of popcorn costs $1.50. - A large box of popcorn costs $4.00. - A total of 25 boxes of popcorn were sold totaling $75.00. How many large boxes of popcorn were sold?

• 6

• 10

• 12

• 15

Two trains are traveling towards each other at a constant speed. - The trains are currently 714 miles from each other. - The speeds of the trains differ by 8 miles per hour. - The trains will meet in 7 hours. What is the speed of the faster train?

• 47 mph

• 50 mph

• 55 mph

• 58 mph

A system of equations is shown below. 3x + 2y = 18 1.5x + 0.75y = 7.5 What is the y-value of the solution to the system?

• 2

• 4

• 6

• 8

A book store sells used books. - Paperback books cost $1.00. - Hardback books sell for $5.00. - The store sold 100 books and made $260 from the sale. How many paperback books did the store sell?

• 20

• 40

• 60

• 80