the coach of a cricket team by 7 bats in 6 balls for Rs 3800 later she buys 3 bats in 5 Balls for 1750find the cost of each ball and each bat
Answers
ball. 504.54Rs
ɢɪᴠᴇɴ :-
ᴛʜᴇ ᴄᴏᴀᴄʜ ᴏғ ᴄʀɪᴄᴋᴇᴛ ᴛᴇᴀᴍs ʙᴜʏs 7ʙᴀᴛs ᴀɴᴅ 6 ʙᴀʟʟs ғᴏʀ 3800.
ʟᴀᴛᴇʀ sʜᴇ ʙᴜʏs 3 ʙᴀᴛs ᴀɴᴅ 5 ʙᴀʟʟs ғᴏʀ ʀs 1750.
ᴛᴏ ғɪɴᴅ :-
ᴄᴏsᴛ ᴏғ ᴇᴀᴄʜ ʙᴀʟʟ ᴀɴᴅ ʙᴀᴛ
sᴏʟᴜᴛɪᴏɴ :-
ʟᴇᴛ ᴛʜᴇ ᴄᴏsᴛ ᴏғ ᴇᴀᴄʜ ʙᴀᴛ ʙᴇ = ʀs x
ʟᴇᴛ ᴛʜᴇ ᴄᴏsᴛ ᴏғ ᴇᴀᴄʜ ʙᴀʟʟ ʙᴇ = ʀs ʏ
ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ϙᴜᴇsᴛɪᴏɴ,
⇒ 7x + 6ʏ = 3800
⇒ 6ʏ = 3800 - 7x
ᴅɪᴠɪᴅɪɴɢ ʙʏ 6, ᴡᴇ ɢᴇᴛ
⇒ ʏ = (3800 - 7x)/6 … (ɪ)
⇒ 3x + 5ʏ = 1750
ᴘᴜᴛᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ʏ
⇒ 3x + 5 ((3800 - 7x)/6) = 1750
ᴍᴜʟᴛɪᴘʟʏɪɴɢ ʙʏ 6, ᴡᴇ ɢᴇᴛ
⇒ 18x + 19000 - 35x = 10500
⇒ -17x =10500 - 19000
⇒ -17x = - 8500
⇒ x = - 8500/-17
⇒ x = 500
ᴘᴜᴛᴛɪɴɢ ᴛʜɪs ᴠᴀʟᴜᴇ ɪɴ ᴇϙᴜᴀᴛɪᴏɴ (ɪ) ᴡᴇ ɢᴇᴛ
⇒ ʏ = ( 3800 - 7 × 500)/6
⇒ ʏ = 300/6
⇒ ʏ = 50
ʜᴇɴᴄᴇ ᴛʜᴇ ᴄᴏsᴛ ᴏғ ᴇᴀᴄʜ ʙᴀᴛ = ʀs 500 ᴀɴᴅ ᴛʜᴇ ᴄᴏsᴛ ᴏғ ᴇᴀᴄʜ ʙᴀʟʟs = ʀs 50.