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Calculate how much is a pint of beer and a packet of crisp? 3 Pints of beer and 2 packets of crisp = £8.60 4 Pints of beer and a packet of crisp =£10.20

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2 Answers

let b=# of beers
let c=# of crisps
3b+2c=8.60
4b+c=10.20
multiply second equation by 2
8b+2c=20.40
subtract first equation from new second equation
8b+2c=20.40
-
3b+2c=8.60
5b=11.80
b=11.80/5
b=2.36 pounds
using second original equation, substitute b=2.36
4(2.36)+c=10.20
9.44+c=10.20
c=10.20-9.44
c=0.76  pounds
check:3(2.36)+2(0.76)=7.08+1.52=8.60
 
Choose a variable to unknowns, What problem is asking to find out:
   
    B - pint of beer
    P- packet of crisp
 
    Then convert statements of the problem into algebraic expression:
 
      3B + 2P = 8.60
      $B + 1P = 10.20
 
     Solve this System of equation