A chef is making 20 pounds of fruit salad to sell in his shop. The chef will use only grapes and

blueberries in the fruit salad. Let x and y be defined as follows:

x = the number of pounds of grapes the chef will use

· y = the number of pounds of blueberries the chef will use

a. Write an equation in terms of x and y that can be used to represent the total number of pounds

of fruit salad the chef will make.

Grapes cost $2.50 per pound, and blueberries cost $4.00 per pound. The chef spent a total of $59.00

for grapes and blueberries for the fruit salad.

b. Write an equation in terms of x and y that can be used to represent the total cost, in dollars, of

the fruit salad.

c. Use your answers from parts (a) and (b) to determine the number of pounds of grapes and the

number of pounds of blueberries the chef will use to make the fruit salad. Show or explain how

you got your answer.

a) x + y = 20

b) 2.50(x) + 4.00(y) = 59.00

c) Number of pounds of grapes is 14 and that of blueberries is 6

Step-by-step explanation:

First question says to write an equation in terms of x and y that can be used to represent the total number of pounds

Sincex represent the number of pounds of grapes and y represent the number of pounds of blueberries

X + y = 20

The second question says to write an equation in terms of x and y that can be used to represent the total cost, in dollars, of the fruit salad.

since x = total number of pounds of grapes bought and y is same for blueberries and both at prices of $2.50 and $4.00 respectively and at a total cost of $59

2.5x + 4y = 59

Third question says to Use your answers from parts (a) and (b) to determine the number of pounds of grapes and the number of pounds of blueberries the chef will use to make the fruit salad

X + y = 20___ equation 1

2.5x + 4y = 59 equation 2

Now multiply equation 1 by 5

And equation 2 by 2 so as to have the coefficient of y in both equation to be same.

5x + 5y = 100 equation 3

5x + 8y = 118 equation 4

Subtract equation 3 from 4 and we have:

3y = 18

Y = 6

Replace y = 6 in equation 4

5x + 8y = 118

5x + (8 × 6) = 118

5x + 48 = 118

5x = 70

X = 70/5

X = 14

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: