Question

To steam rice, Paul uses m cups of water for every p

Answer 1

Answer:

$\frac{(p + 2)m}{p}$

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

The question shows a direct proportion between cups of rice and cups of water.

So, the first step is to get the proportionality constant (k)

This is calculated using the following expression;

$m = k * p$

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

$k = \frac{m}{p}$

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

$k = \frac{x}{p + 2}$

Equate both expressions of k; to give

$\frac{m}{p} = \frac{x}{p + 2}$

Multiply both sides by p + 2

$(p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}$

$(p + 2) * \frac{m}{p} =x$

$x = (p + 2) * \frac{m}{p}$

$x = \frac{(p + 2)m}{p}$

Hence, the expression that represents the cups of water needed is $\frac{(p + 2)m}{p}$