Question

Please help me out, hopefully it’s clear, very urgent. Thanks

Answer 1

Solution:

We know that:

$\frac{\tex\text{Diamonds}}{\text{Emeralds}} = \frac{3}{4}$

$\text{Emeralds} = 16$

Substitute the amount of emeralds in the ratio to find the amount of diamonds.

$\dfrac{\tex\text{Diamonds}}{16} = \dfrac{3}{4}$

$\tex\text{Diamonds} = \dfrac{3 \times 16}{4}$

$\tex\text{Diamonds} = \dfrac{48}{4} = 12$

Thus, there were 12 diamonds.

Answer 2

(a)

girls to boys → 2 : 1

2 → 24

1 → 12

There are total 12 boys.

(b)

diamonds to emeralds → 3 : 4

4 → 16

1 → 4

3 → 12

There are 12 diamonds.