Question

A popular hair salon disbursed daily wages of $614.88 equally among 8 shampooers. Determine the number of shampooers that were employed at the salon the following day if the salon paid out a total of $1152.90 as daily wages.

A) 6
B) 8
C) 10
D) 12

Answer 1

The number of shampooers that were employed at the salon the following day if the salon paid out a total of $1152.90 as daily wages is B) 8

Step-by-step explanation:

The total daily wages disbursed by the salon were $1152.90, and they were distributed equally among 8 shampooers. To determine the number of shampooers employed, we divide the total wages by the daily wage per shampooer.

Let W be the total daily wages, S be the number of shampooers, and D be the daily wage per shampooer.

The equation for distributing wages is given by:

`\[ W = S * D \]`

In this case,
`\( W = 1152.90 \)` and S = 8 . To find D (daily wage per shampooer), we rearrange the equation:

`\[ D = (W)/(S) \]`

Substituting the values, we get:

`\[ D = (1152.90)/(8) \]`

Calculating this yields
`\( D = 144.1125 \).`

This means that each shampooer was paid $144.1125 per day. Now, to find the number of shampooers employed the following day with a total wage payout of $1152.90, we divide the total wages by the revised daily wage per shampooer:

`\[ S = (W)/(D) \]`

Substituting the values, we get:

`\[ S = (1152.90)/(144.1125) \]`

Calculating this yields
`\( S \approx 8 \).`

Therefore, the salon employed 8 shampooers the following day, making the correct answer B) 8.