Step: 1

The length-to-width ratio of the Tennis court at the local club = 170 70

Step: 2

= 170÷10 70÷10

[Divide 170 and 70 by their GCF 10.]

Step: 3

= 17 7 = 17 : 7

[Express as a ratio.]

Step: 4

Since 7 : 3 ≠ 17 : 7, the length-to-width ratio of the Tennis court at the club is not equal to that of the standard .

Correct Answer is : No

Step: 1

21 to 4 = 21 4

[Express ratio as a fraction.]

Step: 2

[Multiply the numerator and the denominator by 25 to make denominator 100.]

Step: 3

= 525 100 = 5.25

[Move the decimal point 2 places to the left.]

Step: 4

The decimal form of 21 to 4 is 5.25.

Correct Answer is : 5.25

Step: 1

The ratio of winners to losers = 2 5

Step: 2

[Multiply both the numerator and the denominator by 2.]

Step: 3

[Multiply both the numerator and the denominator by 3.]

Step: 4

The two ratios equal to the ratio of winners to the losers are 4 10 and 6 15 .

Correct Answer is : 4 10 , 6 15

Step: 1

36 : 5 = 36 5

[Express the ratio as a fraction.]

Step: 2

[Multiply both numerator and denominator by 20 to make denominator 100.]

Step: 3

= 720 100 = 7.20

[Move the decimal point 2 places towards left.]

Step: 4

The equivalent decimal number for the ratio 36 : 5 is 7.2

Correct Answer is : 7.2

Step: 1

[Multiply both the numerator and denominator by 2.]

Step: 2

[Divide both the numerator and denominator by 2.]

Step: 3

The two ratios are 4 8 and 1 2 .

Correct Answer is : 4 8 and 1 2

Step: 1

The ratio of the weight of small tiger to that of big tiger = 300 500

Step: 2

= 3 0 0 ÷ 1 0 0 5 0 0 ÷ 1 0 0 = 3 5

[Divide both the numerator and the denominator by 100.]

Step: 3

= 3 : 5

[Write the fraction as ratio.]

Step: 4

The simplest form of the ratio is 3 : 5.

Correct Answer is : 3 : 5

Step: 1

The ratio of the number of wins to total number of games = number of wins total number of games

Step: 2

= 4 8

[Substitute the values.]

Step: 3

= 4 ÷ 4 8 ÷ 4 = 1 2

[Divide both the numerator and the denominator by their G.C.F, 4.]

Step: 4

The ratio of number of wins to total number of games is 1 : 2.

Correct Answer is : 1 : 2

Step: 1

The number of losses = total number of games - number of wins

= 10 - 6 = 4

[Substitute the values and subtract.]

Step: 2

The ratio of the number of wins to the number of losses

= 6 4

Step: 3

= 6 ÷ 2 4 ÷ 2 = 3 2

[Divide both the numerator and the denominator by the G.C.F, 2.]

Step: 4

The ratio of wins to losses is 3 : 2.

Correct Answer is : 3 : 2

Step: 1

Speed = distance time

Step: 2

The speed of the car = 160 miles 4 hours = 40 miles/hour

[Substitute 160 for distance and 4 for time and divide.]

Step: 3

The speed of the truck = 360 miles 5 hours = 72 miles/hour

[Substitute 360 for distance and 5 for time and divide.]

Step: 4

The ratio of the speed of the car to that of the truck = 40 miles/hour 72 miles/hour

Step: 5

[Divide both the numerator and the denominator by the GCF, 8.]

Step: 6

The ratio of the speed of the car to the speed of the truck is 5 : 9.

Correct Answer is : 5 : 9

Step: 1

10 : 6 = 10 6

[Write the ratio as a fraction.]

Step: 2

= 10÷2 6÷2 = 5 3

[Divide both the numerator and the denominator by the GCF, 2.]

Step: 3

= 5 : 3

[Rewrite the fraction as ratio.]

Step: 4

The simplest form of the ratio is 5 : 3.

Correct Answer is : 5 : 3

Step: 1

Number of girls in the school = total number of students - number of boys = 630 - 360 = 270

Step: 2

The ratio of boys to girls = number of boys number of girls

= 360 270

[Substitute the values.]

Step: 3

= 3 6 0 ÷ 9 0 2 7 0 ÷ 9 0 = 4 : 3

[Divide both the numerator and the denominator by G.C.F, 90.]

Step: 4

The ratio of boys to girls is 4 : 3.

Correct Answer is : 4 : 3

Step: 1

The ratio of the Jazz CDs to the Rock CDs = n u m b e r o f j a z z C D s n u m b e r o f R o c k C D s = 15 20

= 1 5 ÷ 5 2 0 ÷ 5

[Divide both the numerator and the denominator by the GCF, 5.]

Step: 2

= 3 4

Step: 3

The ratio of the Jazz CDs to the Rock CDs is 3 : 4.

Correct Answer is : 3 : 4

Step: 1

The Enrollment of the Elementary in 1990 was 34 million and in the Secondary was 12 million.

Step: 2

The ratio of the number enrolled in Elementary to that of Secondary School = 34 12

Step: 3

= 34 2 12 2 = 17 6 = 17:6

[Divide the numerator and the denominator by the G.C.F, 2.]

Step: 4

The ratio of the Enrollment of the Elementary to the Secondary was 17 : 6.

Correct Answer is : 17 : 6

Step: 1

The ratio of the population in the Northeast to the West = Population in the Northeast population in the West = 50 52

[Substitute.]

Step: 2

= 50÷2 52÷2 = 25 26

[Divide the numerator and the denominator by the G.C.F, 2.]

Step: 3

= 25 : 26

[Write the fraction as ratio.]

Step: 4

The ratio of the population in the Northeast to the West in 1990 was 25 : 26.

Correct Answer is : 25 : 26

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- Solving Problems involving Rates, Speed, Distance and Time-Gr 6-Solved Examples
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- Ratio