A computer table, 4 bar stools and a cabinet costs a total of $352. Each bar stool costs 1/5 as much as the computer table. The cabinet costs $40 less than the table. a)How much is the computer table
b)What is the difference in the cost between the cabinet and 1 bar stool?
T + 4 B + C = 352
B = T/5
T = C + 40
Three equations in three unknowns. Solve by substitution.
T + 0.8 T + T-40 = 352
2.8 T = 392
T = 140
B = 28
C = 100
C - B = 72
could i have a non -algebra answer please, i need a solution by model drawing method
To find the cost of the computer table, we can assign a variable to represent its cost. Let's call it "x".
Since each bar stool costs 1/5 as much as the computer table, the cost of a bar stool is x/5.
The cabinet costs $40 less than the computer table, so its cost would be (x - $40).
We know that the total cost of the computer table, 4 bar stools, and the cabinet is $352.
So we can set up an equation to represent this information:
x + 4(x/5) + (x - $40) = $352
Now, let's solve for x to find the cost of the computer table.
First, let's simplify the equation:
x + 4x/5 + x - $40 = $352
Multiply each term by 5 to eliminate the denominator:
5x + 4x + 5x - $200 = $352
Combine like terms:
14x - $200 = $352
Now, let's isolate the variable:
14x = $352 + $200
14x = $552
Divide both sides by 14:
x = $552/14
x ≈ $39.43
Therefore, the cost of the computer table is approximately $39.43 (part a).
To find the difference in cost between the cabinet and 1 bar stool (part b), we need to subtract the cost of 1 bar stool from the cost of the cabinet.
The cost of 1 bar stool is x/5, and the cost of the cabinet is (x - $40).
So, the difference in cost would be:
(x - $40) - (x/5)
Simplify:
x - $40 - x/5
Multiply through by 5 to eliminate the denominator:
5x - $200 - x
Combine like terms:
4x - $200
Therefore, the difference in cost between the cabinet and 1 bar stool is 4x - $200.