Wil has a coin collection and is currently adding 9 coins per day to his existing number of coins in his collection.After 22 days he has a total of 218 coins. How many coins will he have after 36 days?

Respuesta :

Answer:

344

Step-by-step explanation:

Number of coins added per day in the collection = 9

Number of coins in the collection after 22 days = 218

To find:

Number of coins in the collection after 36 days.

Solution:

First of all, let us find how many coins did he have initially.

Let the number of coins present initially with Wil = [tex]x[/tex]

Number of coins added per day = 9

Number of coins added after 22 days = 22 [tex]\times[/tex] 9 = 198

Therefore,

[tex]x + 198 = 218\\\Rightarrow x = \bold{20}[/tex]

Number of coins present with Wil initially = 20

Number of coins added after 36 days = 36 [tex]\times[/tex] 9 = 324

Total number of coins after 36 days = Number of coins present initially with Will + Number of coins added = 324 + 20 = 344

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