Question

A pile of sand has a weight of 90kg
The sand is put into a small bag , a medium bag and a large bag in the ratio 2 : 3 : 7

Work out the weight of sand in Each bag

Answer 1

Answer:

Weight of a pile of sand = 90 Kg

Ratio of weight of sand in three bags =

2 : 3 : 7

Let the weights be 2x kg, 3x kg and 7x kg respectively

A.T.Q.

=> 2x + 3x + 7x = 90

=> 12x = 90

=> x = 90/12

=> x = 7.5 Kg

___________________________

Weight of sand in small bag =

=> 2 × 7.5

=> 15 Kg ANS

Weight of sand in medium bag =

=> 3 × 7.5

=> 22.5 Kg ANS

Weight of sand in large bag =

=> 7 × 7.5

=> 52.5 Kg ANS

Step-by-step explanation:

Answer 2

Answer:

15 kg, 22.5 kg and 52.5 kg

Step-by-step explanation:

Ratio of weights of the bags: 2:3:7 and total is 90 kg, let's show this as equation:

• 2x+3x+7x=90
• 12x=90
• x=90/12
• x=7.5 kg

2x=2*7.5 kg= 15 kg

3x= 3*7.5 kg= 22.5 kg

7x= 7* 7.5 kg=  52.5 kg