Aᴀʀᴏɴ ʜᴀs ᴀɴ Aᴍᴇʀɪᴄᴀɴ ᴄᴏɪɴ ᴄᴏʟʟᴇᴄᴛɪᴏɴ. Hᴇ ʜᴀs ᴛʜʀᴇᴇ ᴛɪᴍᴇs ᴀs ᴍᴀɴʏ 10 ᴄᴇɴᴛ ᴄᴏɪɴs ᴀs 25 ᴄᴇɴᴛ ᴄᴏɪɴs ᴀɴᴅ ʜᴇ ʜᴀs sᴏᴍᴇ 5 ᴄᴇɴᴛ ᴄᴏɪɴs ᴀs ᴡᴇʟʟ. Iғ ʜᴇ ʜᴀs 88 ᴄᴏɪɴs ᴡɪᴛʜ ᴀ ᴛᴏᴛᴀʟ ᴠᴀʟᴜᴇ ᴏғ $11:40 ʜᴏᴡ ᴍᴀɴʏ ᴏғ ᴇᴀᴄʜ ᴛʏᴘᴇ ᴅᴏᴇs ʜᴇ ʜᴀᴠᴇ﹖
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Let 'x' represent the number of 25-cent coins, then '3x' represents the number of 10-cent coins and '88-x-3x' represents the number of 5-cent coins
11.40 = 0.05(88-x-3x) + 0.10(3x) + 0.25(x)
solving for 'x' we have x=20
3*20 = 60
88 - x- 3*20 = 8
Aaron has 8 nickels, 60 dimes and 20 quarters
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