Question

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

Answer 1

Answer:

• Sand in small bag = 2x = 2(7.5) = 15 kg

• Sand in medium bag = 3x = 3(7.5) = 22.5 kg

• Sand in a large bag = 7x = 7(7.5) = 52.5 kg

Step-by-step explanation:

Total weight = 90 kg

As 90 kg has been distributed in 3 bags in the ratio 2:3:7

Let the small bag contains = 2x

Let the medium bag contains = 3x

Let the big bag contains = 7x

so the equation becomes

2x+3x+7x = 90

12x = 90

x = 90/12

x = 7.5

Thus,

• Sand in small bag = 2x = 2(7.5) = 15 kg

• Sand in medium bag = 3x = 3(7.5) = 22.5 kg

• Sand in a large bag = 7x = 7(7.5) = 52.5 kg

SOLUTION CHECK

15+22.5+52.5=90 kg