Question

WILL GIVE BRAINLIEST!
A soil supplement that weighs 16 lb contains iron, potassium, and mulch. The supplement contains thirteen times as much mulch as iron and twice as much potassium as iron. Find the amount of mulch in the soil supplement.  lb​

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Let x represent the amount of iron, y represent the amount of potassium and z represent the amount of mulch.

Since the supplement weighs 16 lb, hence:

x + y + z = 16          (1)

Also supplement contains thirteen times as much mulch as iron. Therefore:

x = 13z

x - 13z = 0     (2)

The supplement also has twice as much potassium as iron, hence:

x = 2y

x - 2y = 0          (3)

solving equations 1, 2 and 3 simultaneously gives:

x = 10.1 lb, y = 5.1 lb, z = 0.8 lb

This means that the soil supplement contains 0.8 lb of mulch