Question

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

Answer 1

Step-by-step explanation: Pru, Piper, Phoebe their ratio 5:3:4 added = 12

What this would mean is that Pru has 5/12 of the total amount, Piper has 3/12 of the total, and Phoebe has 4/12 of the total amount of spices all together.

pru = piper + 24

5/12x = 3/12x + 24

5/12x - 3/12x = 24

2/12x = 24

x = 24 / (1/6)

x = 24 * 6

x = 144 spices in all.

Pru has : 5/12(144) = 720/12 = 60 spices

Piper has : 3/12(144) = 432/12 = 36 spices

Phoebe has : 4/12(144) = 576/12 = 48 spices <====

Answer 2

48 spices

Explanation:

The number of spices each has is a multiple of 5, 3, and 4.

The number of spices each has is 5x, 3x, and 4x.

Pru has 5x spices.

Piper has 3x spices.

Pru has 24 more spices than Piper, so

5x = 3x + 24

2x = 24

x = 12

Phoebe has 4x spices, so Phoebe has

4(12) = 48