A garden table and a bench cost $746 combined. The garden table costs $96 more than the bench. What is the cost of the bench?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the statement:
A garden table and a bench cost $746 combined. The garden table costs $96 more than the bench.
Determine the cost of the bench.
Solution:
In order to determine the cost of the bench, we will first represent the values.
x = cost of the bench
x + 96 = cost of the garden table
Represent the values in an equation having a sum of $746.
( x ) + ( x + 96 ) = 746
Solve for x.
x + x + 96 = 746
2x + 96 = 746
Transpose 96 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
2x = 746 - 96
2x= 650
Divide both sides by 2 in order to determine the value of x.
2x/2 = 650/2
x = 325
Cost of the bench = $325
Cost of the garden table
= $325 + 96
= $421
Final answer:
Cost of the bench = $325