a box of chalk and 2 staplers costs $10. 3 boxes of chalk and 2 staplers costs $18. find total cost of 1 box of chalk and 1 stapler
c + 2s = 10.30
3c + 2s = 18
subtract them
2c = 7.7
c = 3.85
sub back into the first equation to get
3.85 + 2s = 10.3
2s = 6.45
s = 3.23
so c + s = 7.08
barmodel
To find the total cost of 1 box of chalk and 1 stapler, we can use a system of equations.
Let's assign variables to the unknowns:
Let x be the cost of 1 box of chalk,
Let y be the cost of 1 stapler.
From the given information, we can create two equations:
Equation 1:
1x + 2y = 10 (1 box of chalk and 2 staplers cost $10)
Equation 2:
3x + 2y = 18 (3 boxes of chalk and 2 staplers cost $18)
We can use the method of substitution or elimination to solve for x and y.
Let's use elimination to solve the system of equations:
Multiply equation 1 by 3 and equation 2 by 1 to make the coefficients of the x terms equal:
Equation 1:
3x + 6y = 30
Equation 2:
3x + 2y = 18
Now, subtract equation 2 from equation 1 to eliminate the x terms:
(3x + 6y) - (3x + 2y) = 30 - 18
3x - 3x + 6y - 2y = 12
4y = 12
y = 12/4
y = 3
Substitute the value of y into equation 1 and solve for x:
3x + 6(3) = 30
3x + 18 = 30
3x = 30 - 18
3x = 12
x = 12/3
x = 4
Therefore, the cost of 1 box of chalk is $4 and the cost of 1 stapler is $3. The total cost of 1 box of chalk and 1 stapler is $4 + $3 = $7.