A farmer has 120 kilograms of fertilizer and want to distribute it among his 3 fields in the ratio of 4:5:3, how much fertilizer will each field receive

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps
  1. Find the total number of parts in the ratio.

    The ratio for the 3 fields is 4:5:34:5:3.
    Total parts =4+5+3=12= 4 + 5 + 3 = 12

  2. Determine the amount of fertilizer per part.

    Total fertilizer =120 kg= 120 \text{ kg}
    Amount per part =Total fertilizerTotal parts=120 kg12=10 kg/part= \frac{\text{Total fertilizer}}{\text{Total parts}} = \frac{120 \text{ kg}}{12} = 10 \text{ kg/part}

  3. Calculate the amount of fertilizer for each field.

    Field 1 (ratio 4) =4×10 kg=40 kg= 4 \times 10 \text{ kg} = 40 \text{ kg}
    Field 2 (ratio 5) =5×10 kg=50 kg= 5 \times 10 \text{ kg} = 50 \text{ kg}
    Field 3 (ratio 3) =3×10 kg=30 kg= 3 \times 10 \text{ kg} = 30 \text{ kg}

    Field 1 will receive 40 kg\boxed{40 \text{ kg}}.
    Field 2 will receive 50 kg\boxed{50 \text{ kg}}.
    Field 3 will receive 30 kg\boxed{30 \text{ kg}}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp