Discussion

Explanation:

Now, number of oranges = 50i – sharpeners – erasers
= 50i – 15i – 10e
= 35i – 10e

In the previous question we had,
⇒ i = 11 + (4 + 3e)/14

When e = 8, i = 13
⇒ Number of sharpeners = 35 × 13 – 10 × 8 = 375

When e = 22, i = 16
⇒ Number of sharpeners = 35 × 16 – 10 × 22 = 340

When e = 36, i = 19
⇒ Number of sharpeners = 35 × 19 – 10 × 36 = 305

i.e., Number of sharpeners decrease by 35 for subsequent values of e and i.

⇒ Number of sharpeners = 305 – 35x

Now, this has to be greater than or equal to 160 as 160 sharpeners are to be sold.
⇒ 305 – 35x ≥ 160
⇒ x ≤ 145/35 = 4.14

∴ Least number sharpeners on Monday morning = 305 – 35 × 4 = 165.

Hence, 165.

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