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math question?!?!?
Four pencils and two pens cost $0.74. Six pencils and five pens cost $1.53. Find the cost of a pencil and a pen.
8 Answers
- 1 decade agoFavorite Answer
x = pencils y = pens
4x + 2y = .74 _____ Equation 1
6x + 5y = 1.53 ____ Equation 2
Step 1: Eliminate a variable
Equation 1 X 3:
12x + 6y = 2.22
Equation 2 X 2:
12x + 10y = 3.06
Subtract the two:
12x + 6y - (12x + 10y) = 2.22 - 3.06
12x - 12x + 6y - 10y = -.84
-4y = -.84
y = .21
Substitute this value into an equation:
4x + 2 (.21) = .74
4x + .42 = .74
4x = .32
x = .08
So a pencil is worth $.08 and a pen is worth $.21
Added together:
.08 + .21 = $.29
So .29 is your answer
Hope this helps!!!
- Love TrainingLv 51 decade ago
Let x = the cost of a pencil and y = the cost of a pen.
4x + 2y = $0.74
6x + 5y = $1.53
If you solve the first equation for y, you get
2y = $0.74 - 4x
y = $0.37 - 2x
Now substitute that into the second equation and you get
6x +5($0.37 - 2x) = $1.53
6x + $1.85 -10x = $1.53
$0.32 = 4x
$0.08 = x and y = $0.37 - $0.16 = $0.21
So, a pencil costs $0.08 and a pen costs $0.21. Add those two together to get the cost of a pencil AND a pen.
- 1 decade ago
you make 2 equations form the info.
let x=pencils and y=pens
4x+2y=0.74 and 6x+5y=1.53
now with the two equations, solve for the value of x and y
x=0.08 and y= 0.21
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