Question

A car can travel 300 miles on 10 gallons of gas. The ratio is 300 miles to 10 gallons.

Miles 0 - 0 Gallons
30. 30 - 1
60. 60 - 2
90 - 3
120 - 4
150 - 5
180 - 6
210 - 7
240 - 8
270 - 9
300 - 10

1. Write the ratio given in the problem.
2. Divide both quantities in the ratio by the second quantity in the ratio and write a new ratio. What is this ratio called? Explain. ​

Answer 1

Answer:300:10 = 30:1

30 miles per gallon

Explanation:

Answer 2

1) 30:1

2) 30:1

Explanation:

We are given the following information in the question:

Miles-Gas(Gallons): 30 - 1 , 60 - 2 , 90 - 3 , 120 - 4 , 150 - 5 , 180 - 6 , 210 - 7 , 240 - 8 , 270 - 9 , 300 - 10

1) We have to find the ratio of the given problem.

`Ratio = \displaystyle(Miles)/(Gallon)`

`= \displaystyle(300)/(10)\\\\=(30)/(1)\\\\=30:1`

The ratio is 30:1 and it can be read as 30 miles per gallon of gas which means the car covers a distance of 30 miles in 1 gallon of gas.

2) If we divide the obtained ration by the second quantity of ratio, then,

`\dispkastyle((300)/(10))/((10)/(10)) = (30)/(1) = 30:1`

The new ratio is 30:1.

This ration is in proportion, when two ratios are equal thy are said to be in proportion.