Mathematics
Bela has ₹100 for pocket money. She spends 5 every day. What amount will be left on the 15th day? How many days will it take for the entire amount to be spent?
Polynomials
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Answer
Let n be the number of days and A be the amount left (in ₹) after n days.
Since Bela starts with ₹100 and spends ₹5 every day, the amount left after n days is:
A = 100 − 5n
Amount left on the 15th day:
Substituting n = 15 in A = 100 − 5n:
A = 100 − 5 × 15
⇒ A = 100 − 75
⇒ A = 25
So, ₹25 will be left on the 15th day.
Number of days for the entire amount to be spent:
The entire amount is spent when A = 0.
Substituting A = 0 in A = 100 − 5n:
100 − 5n = 0
⇒ 5n = 100
⇒ n =
⇒ n = 20
So, it will take 20 days to spend the entire amount.
Hence, ₹25 will be left on the 15th day, and it will take 20 days for the entire amount to be spent.
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