INCREASING OR DECREASING USING RATIOS WORKSHEET

Quantity 1 :

Increase 30 in the ratio 2 : 3.

Quantity 2 :

Decrease 75 in the ratio 5 : 4.

Quantity 3 :

James weighs 140 lb.56.7 kilograms. If he reduces his weight in the ratio 7 : 6, find his new weight.

Quantity 4 :

John has to travel from the city A to city B. The distance from city A to city B through the city C is 420 miles. If John travels from the city A to city B through the city D, the distance is decreased in the ratio 7 ; 5. Find the distance from the city A to city B through the city D.

Quantity 5 :

Edward weighed 140 lb. and reduced his weight to 112 lb. In what ratio did  Edward reduce his weight? 4.

1. Answer :

Original quantity = 30.

Original quantity 30 increased in the ratio 2 : 3.

New Quantity :

= (3 x 30)/2

= 90/2

= 45

2. Answer :

Original quantity = 75.

Original quantity 75 decreased in the ratio 5 : 4.

New Quantity :

= (4 x 75)/5

= 300/5

= 60

3. Answer :

Original weight of James = 56.7 kilograms.

He reduces his weight in the ratio 7 : 6.

His new weight :

= (6 x 56.7)/7

= 48.6 kilograms

4. Answer :

Distance from A to B through C = 420 miles.

The distance 420 miles is decreased in the ratio He reduces his weight in the ratio 7 : 6.

Distance from A to B through D :

= (6 x 420)/7

= 2520/7

= 360 miles

5. Answer :

Original weight of Edward = 140 lb.

New weight of Edward = 112 lb.

Let the weight be reduced in the ratio a : b.

Then,

112 = (b ⋅ 140)/a

Multiply both sides by a.

112 ⋅ a = 140 ⋅ b

Divide both sides by 112b.

a/b = 140/112

a/b = 5/4

a : b = 5 : 4

Therefore, Edward reduced his weight in the ratio 5 : 4.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.