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Q#5(a) Seven cups of coffee and 4 pieces of toast cost $10.6. 5 cups of coffee and 4 pieces of toast cost
$8.60. Find the cos

By Charlotte

Q#5(a) Seven cups of coffee and 4 pieces of toast cost $10.6. 5 cups of coffee and 4 pieces of toast cost
$8.60. Find the cost of each item.​

About the author
Charlotte

draw the geometrical net of rectangular pyramid having slant edge 6cm and base as a rectangle with length 4cm and breadth 3cm​

2) If P is the original cost of an asset then at the end of the second year its value is
ta Pſi-a
(b) P[1+
(c) Pſ1

2 thoughts on “Q#5(a) Seven cups of coffee and 4 pieces of toast cost $10.6. 5 cups of coffee and 4 pieces of toast cost<br />$8.60. Find the cos”

  1. Answer:

    We can set up a system of equations to solve this. Calling the price of a cup of coffee C, and the price of a cup of tea T, we get

    (1) 4C+4T=12

    (2) 3C=2T

    If we divide both sides of (1) by 4 we get

    (3) C+T=3

    We want to find 5C+5T, so to do that we can multiply both sides of (3) by 5 to get

    (4) 5C+5T=15

    Therefore the answer is $15

    We can check this by working out the individual prices of a cup of tea or coffee and substituting them back into (4):

    We can substitute 2 x (2) into (1) to get

    (5) 4C+6C=12

    ie 10C=12, so C = $1.20

    Then from 2, 3 x 1.20=2T, so T=$1.80

    Substituting into (4), we find that 5 x 1.20 + 5 x 1.80= 6 + 9 = $15

    Reply

  2. Answer:

    4c+4t=12

    3c=2t

    c=2/3t

    Sub this into orginal equation

    4(2/3t)+4t4t=12

    8/3t+4t=12

    20/3t=12

    t=36/20

    Therefore t=1.8

    Sub this into 3c=3.6

    Therefore c=1.2

    So a cup of coffee is $1.20 and a cup of tea is$1.80

    Reply

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