Translating sentences into equations

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A soil supplement that weighs 18 lb contains iron, potassium, and a mulch. There is fifteen times as much mulch as iron and twice as much potassium as iron. Find the amount of mulch in the soil supplement. 

Jun 25th, 2015

Thank you for the opportunity to help you with your question!

Let the amount of iron be y.

Mulch = 15y; there is fifteen times as much mulch as iron.

Potassium = 2y,  i.e.  there is twice as much potassium as iron

Total = 18 lb

so  y + 15y + 2y = 18

18y = 18 lb

y = 1 lb

thus 15y = 15lb

So the amount  of mulch in the soil supplement is 15 lb

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 25th, 2015

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Jun 25th, 2015

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