On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of 16.50$.It turns ot the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25$. How much was each cup of coffee.
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let the price of a cup of coffee is x.
so,price of ten cup coffee= 10x.
and,let the price of a cup of doughnut is y
so,price of 5 cups of doughnuts =5y.
on Monday,
10x +5y= 16.50$ (eq. 1)
on Tuesday,
5x + 10y= 14.25$ (eq.2)
after multiplying by 2 in equation 1 and subtract eq.2,we get
20x + 10y =33$
- (5x + 10y)=- 14.25$
15x =18.75$
x =18.75$/ 15
x =1.25$
so the price of a cup of coffee=x =1.25$.
so,price of ten cup coffee= 10x.
and,let the price of a cup of doughnut is y
so,price of 5 cups of doughnuts =5y.
on Monday,
10x +5y= 16.50$ (eq. 1)
on Tuesday,
5x + 10y= 14.25$ (eq.2)
after multiplying by 2 in equation 1 and subtract eq.2,we get
20x + 10y =33$
- (5x + 10y)=- 14.25$
15x =18.75$
x =18.75$/ 15
x =1.25$
so the price of a cup of coffee=x =1.25$.
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