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TiliK225 [7]
3 years ago
8

On a map, 2 inches represents 300 miles. How many inches would there be between two cities that are 1,200 miles apart?

Mathematics
1 answer:
solniwko [45]3 years ago
6 0

Answer:

8

Step-by-step Explanation:

Step 1. Divide 1200 by 300:

1200 ÷ 300 = 4

Step 2. Multiply 4 by 2:

4 * 2 = 8

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A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

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Collect like terms

- 0.25y + 0.4y = 72 - 60

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