Problem Solving Maths

Question

1.75kg of sweets will be distributed in a 3: 4 ratio. The weight of 20 pieces of candy is 100g. What is the number of candies for the larger portion?

Answer 1

1.75 kg is divided (3/7)1.75 to (4/7)1.75 or (3/4kg) to (1 kg)

It's a 3/4 to 4/4 ratio

100g = 1kg/10

4/7 of 100g = 400/7 g = about 57.14 grams is the larger portion

3/7 of 100g = 300/7 g = about 42.86 grams as the smaller portion

57.14 to 42.86 is 1 to 3/4 ratio

1 to 3/4 = 1/(3/4) = 4/3 = 1.333...

57.14/42.86 = 1.333177788 differing from 1.333... due to rounding approximations

20 candies in 100 grams means

20/100 = 1/5 = X/57.14

X = 57.14/5 = 11.428 candies in the larger portion

4/7 x 20 = 11.42857143 candies in the larger portion.

round it off to 11 candies