Ratio!

Question 1

What is an equivalent ratio for 10:20?

Answer 1

If you divided - 2:4
If you multiplied by 2 - 20:40
Etc!

Question 2

What’s an equivalent ratio for 9:2 if the first part of the ratio is 45?

Answer 2

45:10

Question 3

What is the ratio of water to syrup if you have 1 cup of water and 8 cups of syrup?

Answer 3

1:8

Question 4

You have a ratio of cups of water to cups of syrup which is 1:8
If I have six cups of water, how much syrup will I need? How? What would be the new ratio?

Answer 4

48 cups of syrup
Since 1 cup of water takes 8 cups of syrup, you would multiply 6 by 8 to get how much water is needed.
The new ratio would be 6:48

Question 5

The recipe to make 6 pancakes: 1 cup of flour, 1tbs of salt, ¼ cups of milk and 6 eggs. What is the ratio?

Answer 5

1:1:¼:6

Question 6

The recipe to make 6 pancakes: 1 cup of flour, 1tbs of salt, ¼ cups of milk and 6 eggs. What would be the recipe for 18 pancakes? How
Say it as a ratio as well!

Answer 6

3 cups of flour, 3 tbs of salt, ¾ cups of milk, 18 eggs 
3:3:¾:18 
Divide 18 by 6 to find out what 1 part would be 
You'd get 3 
Multiply 3 by each part of the recipe
1 cup of flour × 3 = 3 
1 tbs of salt × 3 = 3 
¼ cups of milk × 3  = ¾ 
6 eggs × 3 = 18

Question 7

What’s the equivalent ratio for 3:6 if the first part of the ratio is 6? How did you know?

Answer 7

6:12

Divide 6 by 3 to get on part = 2
Multiply 2 by 6 which is the second part of the ratio
= 12

Question 8

If given _:15 = 30:10
What is the first part of the equivalent ratio?
How did you know?

Answer 8

15:5

Write it as x / 5 = 30 / 10
Divide the denominators (5 and 10) to get 2
Then divide 30 by 2 to find out the numerator for the equivalent ratio which is 15

Question 9

Simplify 5cm : 2m

How did you get your answer?

Answer 9

1cm : 40 cm
First change meters to centimeters 
100cm make a meter 
2×100 = 200cm (2m = 200cm) 
Ratio - 5cm : 200 cm
Ratio simplified - 1cm : 40cm

Question 10

In a Cricket club there are 50 members of which 28 are females.
Determine the ratio of:
i) Female members : total number of members
ii) Male members : female members
Explain answer for ii.

Answer 10

i) 28:50 or 14:25 if simplified
ii) 22:28 or 11:14 if simplified
- to find out how many Male members are there, subtract the 28 female members from the 50 members and what’s left are males. (22)

Question 11

Express $6:30€ as a ratio in its lowest term.

Explain

Answer 11

20€ : 1€

100€ make a dollar
100 × 6 = 600€
Ratio - 600€ : 30€
Ratio simplified - 20€ : 1€

Question 12

Express in its lowest form, the ratio 825g : 1kg

Explain

Answer 12

33g : 40g

1000 grams make a kilogram
1000×1 = 1000
Ratio - 825g : 1000g
Ratio simplified - 33g : 40g

Question 13

$25,000 is to be divided among two consultants in the ratio 2:3. What is the amount of the smaller share?
Explain

Answer 13

$10,000

Add the ratio - 2+3 = 5
Write 2/5 x 25 000 = 10,000
Multiply ⅖ by the amount of money to be divided

Question 14

A sum of money is divided among two friends in the ratio 4:11. Given the smaller share is $420. Determine the larger amount.
Explain

Answer 14

$1,155

To find one part - divide $420 by 4 (420 by the smaller part of the ratio) to get $105

Multiply the other part of the ratio by 105
11 x 105 = 1,155

Question 15

Share 18 mangoes in the ratio 1:2:3

Explain

Answer 15

3:6:9

Add the ratio - 1+2+3 = 6
Put 6 as each of the ratios denominator and multiply it by the 18 mangoes to be shared
⅙ × 18 = 3

Question 16

Cody has two poles
One length is 2¼ meters and the second length ½ meters. Express the ratio of each length of the first pole to the second pole in simplest terms.
EXPLAIN

Answer 16

3:2

The ratio is 2¼ : 1½ 
Put it as an improper fraction - ⁹/⁴ : ³/² 
Divide ⁹/⁴ by ³/²
9/4 ÷ 3/2 
= 9/4 × 2/3 
= 3/2 
Ratio - 3:2

Question 17

A sum of money was to be shared among 3 friends. Alberto, Bruce, and Christine in the ratio 3:7:10. Christine receives $495 more than Bruce. Determine the sum of money shared.
Explain

Answer 17

$3,300

The ratio - 3:7:10
Christine receives $495 more than Bruce
The represent that using the ratio, it is 
10-7 = $495 
10-7 = 3 
Divide 495 by 3 to determine one part 
= 165 

Now add the ratio - 3+7+10 = 20
Multiply the sum of the ratio by the one part
20 x 165 = $3,300

Question 18

Am alloy consists of 4 parts of gold and 9 parts of silver. What amount of gold should be mixed with 360g if silver? Explain

Answer 18

160g

4:9 is the ratio of gold to silver 
X : 360 (x represents the amount of gold to silver) 
Cross multiply^ 
4:9 
 X
x:360 
 = 9x = 360 x 4 
9x = 1440 
Value of x = 1440 ÷ 9 = 160 

160g