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nikklg [1K]
2 years ago
6

how many pounds of coffee worth $10 a pound should be added to 20 pounds of coffee worth $4 a pound to get a mixture worth $5 a

pound
Mathematics
1 answer:
Solnce55 [7]2 years ago
5 0

Answer:

4

Step-by-step explanation:

1. if the mass of coffee worth $10 is 'x', then its worth is 10x, and the worth of the mixture is 5(x+20);

2. using the previous item it is possible to write the next equation:

5(x+20)=4*20+10*x; ⇒ x=4.

3. the required mass is 4 pounds.

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An object that weighs 24 pounds on Mercury weighs approximately 80 pounds on Earth. A rock weighs 240 pounds on Mercury. What is
AnnyKZ [126]

Answer:

800 pounds.

Step-by-step explanation:

We have been given that an object that weighs 24 pounds on Mercury weighs approximately 80 pounds on Earth. A rock weighs 240 pounds on Mercury. We are asked to find the weight of rock on Earth.

We will use proportions to solve our given problem as proportions state that the ratio between two proportional quantities is equal.

\frac{\text{Weight on Earth}}{\text{Weight on Mercury}}=\frac{80}{24}

Upon substituting our given value, we will get:

\frac{\text{Weight on Earth}}{240}=\frac{80}{24}

\frac{\text{Weight on Earth}}{240}\cdot 240=\frac{80}{24}\cdot 240

\text{Weight on Earth}}=\frac{80}{1}\cdot 10

\text{Weight on Earth}=800

Therefore, the weight of rock on Earth would be approximately 800 pounds.

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