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Tuesday, September 19 2017 @ 12:07 PM CDT
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 Maths Question 37
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By: shirley wee (offline)  Saturday, November 03 2012 @ 05:09 AM CDT (Read 800 times)  
shirley wee

Hi everybody! I'm stuck with this maths question. May you help me? Please show your working clearly.

Qn1. 4/5 kg of crabs and 2 kg of minced meat cost $52. 1/4 kg of crabs and 1 kg of minced meat cost $23. Find the cost of 1 kg of minced meat.

Thank you for your help.

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By: echeewh (offline)  Saturday, November 03 2012 @ 08:44 AM CDT  
echeewh

Hey Shirley,

Following pls find my worked solution:

(4/5) kg C + 2 kg M = 52 -- (1)
(1/4) kg C + 1 kg M = 23 -- (2)

(2)x2:
(1/2) kg C + 2 kg M = 46 -- (3)

(1)-(3):
(4/5) kg C - (1/2) kg C = 52 - 46
[(8 - 5)/10] kg C = 6
(3/10) kg C = 6
(1/4) kg C = 6 รท (3/10) x (1/4) = 6 x (10/3) x (1/4)
= 5

Subsitute this in (2):
5 + 1 kg M = 23
1 kg M = 23 - 5 = 18

hence, 1 kg of minced meat is $18

============

Trust this helps.

Do let me know if this is different from your Answerkey or if there's further clarification.

Cheers,
Edward

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