Question

A farmer found a buried treasure chest. It had 9415 gems. 1987 of them were pearls and the rest were diamonds. How many diamonds were there in the chest?
A farmer found a buried treasure chest. It had 9415 gems. 1987 of them were pearls and the rest were diamonds. How many diamonds were there in the chest?

Answer 1

ʜᴇʀᴇ'ꜱ yᴏᴜʀ ᴀɴꜱᴡᴇʀ

ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ qᴜᴇꜱᴛɪᴏɴ:

✎ ᴛᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏꜰ ɢᴇᴍꜱ → 9415 ɢᴇᴍꜱ

✎ ᴛᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏꜰ ᴩᴇᴀʀʟꜱ → 1987 ᴩᴇᴀʀʟꜱ

✎ ᴛᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏꜰ ᴅɪᴀᴍᴏɴᴅꜱ → ᴜɴᴋɴᴏᴡɴ

ɢɪᴠᴇ ᴀ ᴠᴀʀɪᴀʙʟᴇ ᴛᴏ ᴛʜᴇ ᴜɴᴋɴᴏᴡɴ ᴠᴀʟᴜᴇ, ʟᴇᴛ'ꜱ ɴᴀᴍᴇ ɪᴛ 'x'

ʟᴇᴛ'ꜱ ꜰʀᴀᴍᴇ ᴀ ꜱɪᴍᴩʟᴇ ᴇqᴜᴀᴛɪᴏɴ:

✎ ᴩᴇᴀʀʟꜱ + ᴅɪᴀᴍᴏɴᴅꜱ = ɢᴇᴍꜱ

✎ 1987 + x = 9415

ꜱᴏʟᴠᴇ:

✎ x = 9415 - 1987 (ᴜꜱɪɴɢ ʟɪɴᴇᴀʀ ᴇqᴜᴀᴛɪᴏɴꜱ)

    x = 7428

ꜱᴏ, ᴛʜᴇʀᴇ ᴡᴇʀᴇ 7428 ᴅɪᴀᴍᴏɴᴅꜱ ɪɴ ᴛʜᴇ ᴄʜᴇꜱᴛ

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