a cup of tea costs 10 cents less than a cup of coffee but a cup of hot chocolate costs 20 cents more than a cup of coffee. 3 cups of coffee 5 cups of tea and 2 cups of hot chocolate cost $8.90.
a) form an equation with x as the price of coffee.
b) solve the equation formed above
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Let the cost of coffee be x
So.
- Cost of a cup of tea = x - 10cents
- Cost of a cup of hot chocolate = x + 20cents
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Answer of 1st part :
3 (x) + 5 ( x - 10 ) + 2 ( x + 20) = $ 8.90
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Answer of 2nd part :
==> 3x + 5x - 50 + 2x + 40 = $ 8.90
==> ( 3x + 5x + 2x ) - 50 + 40 = $ 8.90
==> 10x - 10 = $ 8.90
==> 10x = $ 18.90
==> x = $ 18.90 / 10
==> x = $ 1.89
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