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?

Pru, Piper, Phoeberatio 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 <

40 & 50 in the right corner are the complementary angles as when placed in a sum (added together) they make 90°