the bar graph shows the average number of years a group of people devoted to their most time - consuming…

the bar graph shows the average number of years a group of people devoted to their most time - consuming activities. according to the graph, a person from this group will devote 30 years to sleeping and eating food. the number of years sleeping will exceed the number of years eating food by 22. over a lifetime, how many years will be spent on each of these activities? years will be spent on sleeping and years will be spent on eating food.

the bar graph shows the average number of years a group of people devoted to their most time - consuming activities. according to the graph, a person from this group will devote 30 years to sleeping and eating food. the number of years sleeping will exceed the number of years eating food by 22. over a lifetime, how many years will be spent on each of these activities? years will be spent on sleeping and years will be spent on eating food.

Answer

Explanation:

Step1: Set up equations

Let $x$ be the number of years sleeping and $y$ be the number of years eating food. We know that $x + y=30$ and $x - y = 22$.

Step2: Add the two equations

Adding the two - equations $(x + y)+(x - y)=30 + 22$. Simplifying the left - hand side gives $2x$, and the right - hand side is 52. So, $2x=52$.

Step3: Solve for $x$

Dividing both sides of the equation $2x = 52$ by 2, we get $x=\frac{52}{2}=26$.

Step4: Solve for $y$

Substitute $x = 26$ into the equation $x + y=30$. Then $26+y=30$. Subtracting 26 from both sides gives $y=30 - 26 = 4$.

Answer:

26; 4