Question

A garrison of 500 men had provisions for 24 days . however a reinforcement of 300 men arrived. For how many days will the food last ?

Answer 1

Answer:

ʟᴇᴛ'ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ ꜰᴏᴏᴅ ᴡɪʟʟ ʟᴀꜱᴛ ꜰᴏʀ x ᴅᴀʏꜱ. 500 ᴍᴇɴ ʜᴀᴅ ᴘʀᴏᴠɪꜱɪᴏɴꜱ ꜰᴏʀ (27−3)=24 ᴅᴀʏꜱ. (500+300) ᴍᴇɴ ʜᴀᴅ ᴘʀᴏᴠɪꜱɪᴏɴꜱ ꜰᴏʀ x ᴅᴀʏꜱ. ᴍᴏʀᴇ ᴍᴇɴ, ʟᴇꜱꜱ ᴅᴀʏꜱ

ʟᴇᴛ'ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ ꜰᴏᴏᴅ ᴡɪʟʟ ʟᴀꜱᴛ ꜰᴏʀ x ᴅᴀʏꜱ. 500 ᴍᴇɴ ʜᴀᴅ ᴘʀᴏᴠɪꜱɪᴏɴꜱ ꜰᴏʀ (27−3)=24 ᴅᴀʏꜱ. (500+300) ᴍᴇɴ ʜᴀᴅ ᴘʀᴏᴠɪꜱɪᴏɴꜱ ꜰᴏʀ x ᴅᴀʏꜱ. ᴍᴏʀᴇ ᴍᴇɴ, ʟᴇꜱꜱ ᴅᴀʏꜱ ∴ 800:500::24:x

ʟᴇᴛ'ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ ꜰᴏᴏᴅ ᴡɪʟʟ ʟᴀꜱᴛ ꜰᴏʀ x ᴅᴀʏꜱ. 500 ᴍᴇɴ ʜᴀᴅ ᴘʀᴏᴠɪꜱɪᴏɴꜱ ꜰᴏʀ (27−3)=24 ᴅᴀʏꜱ. (500+300) ᴍᴇɴ ʜᴀᴅ ᴘʀᴏᴠɪꜱɪᴏɴꜱ ꜰᴏʀ x ᴅᴀʏꜱ. ᴍᴏʀᴇ ᴍᴇɴ, ʟᴇꜱꜱ ᴅᴀʏꜱ ∴ 800:500::24:x ⇒800×x=500×24

ʟᴇᴛ'ᴛʜᴇ ʀᴇᴍᴀɪɴɪɴɢ ꜰᴏᴏᴅ ᴡɪʟʟ ʟᴀꜱᴛ ꜰᴏʀ x ᴅᴀʏꜱ. 500 ᴍᴇɴ ʜᴀᴅ ᴘʀᴏᴠɪꜱɪᴏɴꜱ ꜰᴏʀ (27−3)=24 ᴅᴀʏꜱ. (500+300) ᴍᴇɴ ʜᴀᴅ ᴘʀᴏᴠɪꜱɪᴏɴꜱ ꜰᴏʀ x ᴅᴀʏꜱ. ᴍᴏʀᴇ ᴍᴇɴ, ʟᴇꜱꜱ ᴅᴀʏꜱ ∴ 800:500::24:x ⇒800×x=500×24 ⇒x= 800 500×24 =15

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