# Thread: Word problem.

1. ## Word problem.

How would I setup and answer this word problem?

Two parts of pea gravel worth $10.00 per ton are mixed with one part of sand worth$8.00 per ton to form a base for road paving. If the bill for a project is $728.00, what is the approximate price per ton for the mixture? 2. Originally Posted by Ash How would I setup and answer this word problem? Two parts of pea gravel worth$10.00 per ton are mixed with one part of sand worth $8.00 per ton to form a base for road paving. If the bill for a project is$728.00, what is the approximate price per ton for the mixture?
I assume that the thing (whatever is it) is divided into two equal tons. One is work 10 and one is 8.

Intotal we have, (if x is amount for half-amount).
10x+8x=728
18x=728
x=40.44

Then the full amount is 2x (because we considered half-amount).
2x=80.88 tons

The average amount being paid is:
PRICE/QUANTITY.

The price is 728 and the Quantity is 80.88

Thus,
728/80.88=9.000

Thus it is 9 dollars.

3. Originally Posted by Ash
How would I setup and answer this word problem?

Two parts of pea gravel worth $10.00 per ton are mixed with one part of sand worth$8.00 per ton to form a base for road paving. If the bill for a project is $728.00, what is the approximate price per ton for the mixture? Let x tons be the total quantity, then there is 2x/3 tons of pea gravel, and x/3 tons of sand. So total cost is: 10*(2x/3) + 8*(x/3) = 728 dollars. or: x*28 = 728*3, x = 728*3/28 = 78 tons. Therefor average price of mixture is total price divided by total quantity, which in this case is: 728/78 = 9.33 dollars per ton (actually 9 and 1/3 dollars per ton). RonL 4. Hello, Ash! There are a number of approaches ... none are straight-forward. Here's another one . . . Two parts of pea gravel worth$10/ton are mixed with one part of sand worth $8/ton to form a base for road paving. .If the bill for a project is$728.00,
what is the approximate price per ton for the mixture?

Let x = number of tons of sand.
. . At $8/ton, its cost is: 8x dollars. Let 2x = number of tons of pea gravel. . . At$10/ton, its cost is: 10(2x) = 20x dollars.

The total cost Is $728: .8x + 20x .= .728 . . x = 26 Hence, there is 26 tons of sand and 52 tons of pea gravel, . . a total of 78 tons of "stuff". The cost per ton is: .$728 ÷ 78 .= .$28/3 . .$9.33