Question

Help me please :(.......​

Answer 1

a) $2125

b) $2000

Explanation:

In this problem, we are asked to solve for the manufacturing price of different printers if the printer company sells their printers at a price that makes them 25% profit, assuming there are no extra expenses.

We can solve this type of problem by manipulating ratios, like for example:

manufacturing price : sale price

100 : 125

This ratio represents the the sale price being 25% more than the manufacturing price.

a) We can equate the above ratio to the ratio of the manufacturing price (in this problem, $1700) to the sale price of the printer (represented by x).

100 : 125 = 1700 : x

This can be solved for x when the ratios are represented as fractions.

`(100)/(125) = (1700)/(x)`

↓ simplify the fraction on the left side

`(4)/(5) = (1700)/(x)`

↓ cross multiply

`4x = 1700 \cdot 5`

↓ divide both sides by 4

`x=\$ \, 2125`

So, the price that the customer would pay for a printer that the company bought for $1700 is $2125.

b) We can solve in the same way that we did for section a.

However, this time, the variable (y) represents the manufacturing price, NOT the sale price.

100 : 125 = y : 2500

↓ rewrite with fractions

`(100)/(125) = (y)/(2500)`

↓ simplify the fraction on the left side

`(4)/(5) = (y)/(2500)`

↓ cross multiply

`5y = 2500 \cdot 4`

↓ divide both sides by 5

`y = \$ \, 2000`

So, the price that the company would pay for a printer that a customer buys for $2500 is $2000.