A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes weigh 20 pounds each. There are 120 boxes in all. If the truck is carrying a total of 4050 pounds in boxes, how many of each type of box is it carrying?

Question

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes weigh 20 pounds each. There are 120 boxes in all. If the truck is carrying a total of  4050 pounds in boxes, how many of each type of box is it carrying?

anonymous · Answer

let x = number of large boxes and 120-x = number of small boxes
50x+20(120-x) = 4050
50x+2400-20x = 4050
30x = 1650
x=55 large boxes
120-x = 65 small boxes

anonymous · Answer

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is 60$ For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was 1700$  . What was the price of each kind of ticket?

anonymous · Answer

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anonymous · Answer

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anonymous · Answer

You can set up a system of equations.
Let x = the cost of an advance ticket and y = the cost of a same-day ticket.
x + y = 60
25x+35y=1700
multiply the first equation by -25
-25x-25y=-1500
25x + 35y = 1700
Add the two together:
10y = 200
y = 20
x+20=60
x= 40
advanced tickets cost $40 and same day cost $20