After spending 2/7 of his money on the tennis racket seen have $14 left how much did the tennis racket cost?

7-2 = 5 so

(5/7)x = 14
x = 14 * 7/5 total amount he had

so
cost = (2/7)(14 * 7/5)

= 28/5 = $5.60

==============check
14*7/5 - 28/5 = 10(7/5) = 14 yes

To determine the cost of the tennis racket, we need to set up an equation based on the information provided. Let's call the cost of the tennis racket "x".

According to the question, the person spent 2/7 of their money on the racket. This means that the remaining amount of money, which is $14, is equal to 5/7 of their original money.

We can set up the equation as follows:

(5/7) * (original money) = $14

To solve this equation, we need to isolate "original money" by multiplying both sides of the equation by the reciprocal of 5/7, which is 7/5.

(5/7) * (original money) * (7/5) = $14 * (7/5)

The 7's cancel out on the left side of the equation, leaving us with:

(original money) = $14 * (7/5)

Multiply $14 by 7/5:

(original money) = $98/5

Therefore, the original amount of money the person had is $98/5.

To find the cost of the tennis racket, we subtract the remaining amount of money, $14, from the original amount:

Cost of tennis racket = (original money) - (remaining amount of money)
= $98/5 - $14

Calculating this, we get:

Cost of tennis racket = $98/5 - $70/5
= $28/5

So, the cost of the tennis racket is $28/5.