Kilogram 7162

Mom paid CZK 132.50 for the purchase. She bought bread, 5 kg apples, and three liters of milk. We know that bread costs twice as much as milk, and a kilogram of apples costs 6.50 CZK less than milk. How many CZKs did milk and bread and a kilogram of apples cost?

Correct answer:

a =  30.4 Sk
b =  15.2 Sk
c =  8.7 Sk

Step-by-step explanation:

$$\begin{gathered} a+5b+3c=132.50 \\ a=2b \\ c=b-6.5 \\ a+5\cdot a/2+3\cdot (a/2-6.50)=132.50 \\ 5a=152 \\ a=152/5=30.4 \end{gathered}$$

a + 5·a/2+3·(a/2-6.50) = 132.50

10a = 304


a = 304/10 = 30.4

a = 152/5 = 30.4

Our simple equation calculator calculates it.

$b=a/2=30.4/2=\frac{76}{5}\text{Sk}=15.2\text{Sk}$

$c=b-6.5=15.2-6.5=\frac{87}{10}\text{Sk}=8.7\text{Sk}$

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