Question

Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper, how many apples does Phoebe have?

Answer 1

Answer: Phoebe have 48 apples.

Explanation:

It is given that Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper.

Let the total number of apples be x.

The sum of the ratios is,

$Sum=5+3+4=12$

Therefore the number of apples shared by Pru, Piper, Phoebe are $\frac{5}{12}x, \frac{3}{12}x,\frac{4}{12}x$ respectively.

It is given that Pru has 24 more apples than Piper, so

$\frac{5}{12}x-\frac{3}{12}x=24$

$\frac{5-3}{12}x=24$

$\frac{2}{12}x=24$

$\frac{1}{6}x=24$

$x=144$

Since phoebe have $\frac{4}{12}x$ appels,

$\frac{4}{12}x=\frac{4}{12}\times 144=48$

Therefore, Phoebe have 48 apples.

Answer 2

Answer:

Phoebe has 48 apples

Step-by-step explanation:

Pru's number of apples= 5x

Piper's number of apples= 3x

Phoebe's number of apples= 4x

We know that 5x=3x+24. Solve for x.

5x-3x= 24

2x=24

x=12

12*4= 48

Phoebe has 48 apples