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2 VALUE WORD PROBLEM
- Thread starter kwhite
- Start date
A total of 40 stamps are bought for $28. One set costs $0.37 each while the other costs $1.25 each. How many of each set was purchased?
Letting x and y be the two quantities,
x + y = 40 or .37x + .37y = 14.8
.37x + 1.25y = 28
Subtracting, .88y = 13.2 making x = 15 and y = 25.
Letting x and y be the two quantities,
x + y = 40 or .37x + .37y = 14.8
.37x + 1.25y = 28
Subtracting, .88y = 13.2 making x = 15 and y = 25.
Hello, kwhite!
It seems that Baby-Talk is called for . . .
Since 40 sets were bought, that leaves \(\displaystyle 40 - x\) for the large sets.
The \(\displaystyle x\) small sets cost $0.37 each.
. . So their cost is: \(\displaystyle 0.37x\) dollars.
The \(\displaystyle 40-x\) large sets cost $1.25 each.
. . So their cost is: \(\displaystyle 1.25(40-x)\) dollars.
Hence, the total cost of all the sets was: .\(\displaystyle 0.37x\,+\,1.25(40-x)\) dollars.
. . But we are told that the total cost was $28.
So there is our equation! . . . \(\displaystyle 0.37x\,+\,1.25(40-x)\:=\:28\)
It seems that Baby-Talk is called for . . .
Let \(\displaystyle x\) = number of the small sets.A total of 40 stamp sets are bought for $28.
One set costs $0.37 each while the other costs $1.25 each.
How many of each set was purchased?
Since 40 sets were bought, that leaves \(\displaystyle 40 - x\) for the large sets.
The \(\displaystyle x\) small sets cost $0.37 each.
. . So their cost is: \(\displaystyle 0.37x\) dollars.
The \(\displaystyle 40-x\) large sets cost $1.25 each.
. . So their cost is: \(\displaystyle 1.25(40-x)\) dollars.
Hence, the total cost of all the sets was: .\(\displaystyle 0.37x\,+\,1.25(40-x)\) dollars.
. . But we are told that the total cost was $28.
So there is our equation! . . . \(\displaystyle 0.37x\,+\,1.25(40-x)\:=\:28\)