Question 32 Answer and Explanation _ACT April 2014 Form 71H Math Section

32. Ursula will order boxes of red pens and boxes of blue pens for her company. The table below gives the number of pens in each box and the price per box.

Ursula will order a total of 50 boxes of pens for a total price of $280. Which of the following systems of equations gives a true relationship between the r boxes of red pens and b boxes of blue pens that Ursula will order ?

F. r + b = 50
5r + 6b = 280

G. r + b = 50
15r + 20b = 280

H. r + b = 280
15r + 20b = 50

J. 5r + 6b = 50
15r + 20b = 280

K. 5r + 6b = 280
15r + 20b = 50

Answer and Explanation

Your Answer is

Correct Answer is F

Explanation

A total of 50 boxes, so r+b=50. The total price is 280, so you can list 5r+6b=280. So F.