a purse has only two -rupee and five -rupee coin .The sum of the coin is 36 and the total value of the coin is ₹84 .Find the number of five -rupee coin
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33
Define x:
Let the number of 2-rupee coin = x
the number of 5-rupee coin = 36 - x
Form equation:
The total value of the coin is ₹84
⇒2x + 5(36 - x) = 84
Solve x:
2x + 5(36 - x) = 84
2x + 180 - 5x = 84
3x = 96
x = 32
Find the number of 5-rupees coin:
5-rupee coins = 36 - x = 36 - 32 = 4 coins
Answer: There are 4 5-rupee coins
Answered by
22
Answer:
ʟᴇᴛ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ғɪᴠᴇ ʀᴜᴘᴇᴇ ᴄᴏɪɴs ʙᴇ x.
ɴᴜᴍʙᴇʀ ᴏғ ᴛᴡᴏ ʀᴜᴘᴇᴇᴇ ᴄᴏɪɴs=(36-x)
ᴀs ᴘᴇʀ ᴛʜᴇ ᴄᴏɴᴅɪᴛɪᴏɴ,
5x+2(36-x)=84
5x+72-2x=84➪3x+72=84
3x=84-72➪3x=12
x=4
ʜᴇɴᴄᴇ,ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ғɪᴠᴇ ʀᴜᴘᴇᴇ ᴄᴏɪɴs ɪs 4
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