Question

The total cost of a pair of shoes and a tie was $59.91. If the price of the pair of shoes was $1.11 less than the tie, what was the price of the pair of shoes?

Answer 1

The price of the pair of shoes, which is $1.11 less than the tie, is calculated to be $29.40 when the total cost with the tie is $59.91.

Step-by-step explanation:

To solve for the price of the pair of shoes, we can set up two expressions based on the given information. Let x be the price of the tie. Then the price of the shoes would be x - $1.11, since the shoes are $1.11 less than the tie. We know that together, the shoes and the tie cost $59.91, so we can create the following equation:

x + (x - $1.11) = $59.91

Now, we can combine like terms and solve for x:

2x - $1.11 = $59.91

Add $1.11 to both sides:

2x = $59.91 + $1.11

2x = $61.02

Next, divide both sides by 2 to find x:

x = $61.02 / 2

x = $30.51

So, the price of the tie is $30.51. To find the price of the shoes, subtract $1.11 from $30.51:

Price of shoes = $30.51 - $1.11

Price of shoes = $29.40

The price of the pair of shoes was $29.40.