Chapter 3.6, Problem 6P

To determine

To calculate:Find the number of Calories in a stalk of celery and in a carrot. A carrot has 13 Calories more than celery stalk. A carrot has 13 Calories more than a celery stalk.

Answer to Problem 6P

Each stalk of celery has 7 calories and each carrot has 20 calories.

Explanation of Solution

Given information:A carrot has 13 Calories more than celery stalk. A carrot has 13 Calories more than a celery stalk.

Calculation:Let$n$ be the number ofcalories in on one carrot then$n+13$ is the number of calories in one carrot, Now we can complete the table

	Hours per shift	Number of shifts	Total hours worked
Celery	10	$n$	$10n$
Carrot	5	$n+13$	$5\left(n+13\right)=5n+65$

so we can write an equation

  $10n+5n+65=170$

Now solving the above equation, we gets

  $15n=105$

  $n=7$

each carrot has$n+13=7+13=20$ calories

Conclusion: Each stalk of celery has 7 calories and each carrot has 20 calories.