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?

Respuesta :

Pru, Piper, Phoebe......ratio 5:3:4...added = 12
what this means is Pru has 5/12 of the total amount, Piper has 3/12 of the total amount, and Phoebe has 4/12 of the total amount

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 total

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:

48 spices

Step-by-step explanation:

Pru: 5

Piper: 3

Phoebe: 4

Pru-Piper=24

(5)-(3)=2x...24

2x=24

x=12

Phoebe*12=answer

4*12=48

48 is the answer :)