(BRAINLIEST IF CORRECT ANSWER) When you roast coffee, it loses 12% of its weight. How much fresh coffee do you need to order to get 14 2/25 lb of roasted coffee?

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Explanation:

14 & 2/25 = 14 + 2/25 = 14 + 0.08 = 14.08

The mixed number 14 & 2/25 is the same as the decimal 14.08

The goal is to end up with 14.08 pounds of coffee.

Let x be the starting amount of coffee, in pounds. It will decrease to 14.08 pounds.

We start with x and decrease by 12%. So we are computing this expression

x - 12% of x = 1x - 0.12x = (1-0.12)x = 0.88x = 88% of x

We can see that if we lose 12%, we keep the remaining 88%

The 0.88x is the final weight.

Set 0.88x equal to the goal of 14.08 and solve for x.

0.88x = 14.08

x = (14.08)/(0.88)

x = 16

You'll need to start off with 16 pounds of coffee if you want to end up with 14.08 pounds after losing that 12%

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Check:

12% of 16 = 0.12*16 = 1.92

16 - 1.92 = 14.08

The answer is confirmed.

You need to order approximately 4.15 pounds of fresh coffee to get 14 2/25 pounds of roasted coffee after accounting for the 12% weight loss during roasting.

To find out how much fresh coffee you need to order to get 14 2/25 lb of roasted coffee, you'll need to account for the 12% weight loss during the roasting process.

Let's assume "x" represents the amount of fresh coffee (in pounds) you need to order. When this fresh coffee is roasted, it will lose 12% of its weight, leaving you with 100% - 12% = 88% of the original weight as roasted coffee.

Now, set up a proportion to find "x":

(88/100) * x = 14 2/25 lb

First, convert the mixed number 14 2/25 to an improper fraction. It becomes (364/25) lb.

Now, solve the equation for "x":

(88/100) * x = 364/25

To eliminate the fraction, you can multiply both sides of the equation by the reciprocal of (88/100), which is (100/88):

x = (364/25) * (100/88)

Now, simplify the expression:

x = 4.15 lb (rounded to two decimal places)

To learn more about proportion click on,

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