algebra

a coffee shop mixed brazilian coffee worth \$5 per kg with Turkish coffee worth \$8 per kg. the mixture is to sell for \$7 per kg. how much of each type of coffee should be used to make 300 kg of the mixture?

1. 👍 0
2. 👎 0
3. 👁 850
1. If there are x kg of Brazilian coffee, then there are (300-x)kg of Turkish coffee.

Now, work with the cost for each type of nut. They must add up to the totals cost.

5x + 8(300-x) = 7(300)
5x + 2400 - 8x = 2100
3x = 300
x = 100

So, you need 100kg of Brazilian and 200kg of Turkish.

ote that \$7 is 1/3 of the way from %5 to \$8. So, the cheap coffee is 1/3 of the final mix.

1. 👍 0
2. 👎 0

Similar Questions

1. Math

Consider a 92∘C cup of coffee placed in a 24∘C room. Suppose it is known that the coffee cools at a rate of 2∘C/min when it is 70∘C. Then according to Newton's law of cooling, the temperature T(t) of the coffee t minutes

2. Mathematics

A shopkeeper mixed coffee powder worth \$2.50 per kg with coffee powder worth \$3.50 per kg, and sold 20 kg of the mixture at \$2.80 per kg. Find the weights of the 2 grades of coffee powder that he mixed together. Explain clearly

3. algebra

deluxe coffee is to be mixed with regular coffee to make at least 48 pounds of a blended coffee. the mixture mustContain at least 14 pounds of the deluxe coffee. The luxe coffee cost six dollars per pound of regular coffee three

4. physics

The "steam" above a freshly made cup of instant coffee is really water vapor droplets condensing after evaporating from the hot coffee. What is the final temperature of 280 g of hot coffee initially at 90.0°C if 2.50 g evaporates

1. Algebra

A coffee distributor needs to mix a(n) House coffee blend that normally sells for \$8.40 per pound with a Mexican Shade Grown coffee blend that normally sells for \$14.70 per pound to create 70 pounds of a coffee that can sell for

2. probability

As in an earlier exercise, busy people leave the park according to a Poisson process with rate λ1=3/hour. Relaxed people leave the park according to an independent Poisson process with rate λ2=2/hour. Each person, upon leaving

3. Math

The Coffee Counter charges ​\$11.00 per pound for Kenyan French Roast coffee and ​\$15.00 per pound for Sumatran coffee. How much of each type should be used to make aa 24 pound blend that sells for ​\$13.00 per​ pound?

4. science

An experiment was performed how the amount of coffee grounds could affect the taste of coffee. The same kind of coffee, the same percolator, the same amount a type of water, the same perking time, and the same electrical source

1. math

a coffee company wants a new flavor of cajun coffee. how many pounds of coffee worth \$10 a pound should be added to 20 pounds of coffee worth \$3 a pound to get mixture worth \$6 a pound

2. physics

How many grams of coffee must evaporate from 350 g of coffee in a 100-g glass cup to cool the coffee from 95.0ºC to 45.0ºC ? You may assume the coffee has the same thermal properties as water and that the average heat of

3. Math

A shop owner blends three types of coffee,A,B,C.in the ratio 3:5:7 a) calculate the weight of each type of coffee in 45kg of three blended mixture. b) given that type A coffee cost \$7 per kg, type B coffee costs \$10 kg and type C

4. Physics

A thermos contains 150cm3 of coffee at 85° C. To cool the coffee, you drop two 10g ice cubes into the thermos. The ice cubes are initially at 0° C and melt completely. What is the final temperature of the coffee? Treat the