Question

A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories. The equation 4c + 5 = 27 represents the relationship between these quantities. Step 1: Answer the following questions: a. What could the 5 represent in this situation? b. Priya said that neither 8 nor 3 could be the solution to the equation. Explain why she is correct. c. Find the solution to the equation.

Answer 1

5 represent calories from other ingredients

c= 5 1/2 grams

Explanation:

Total calories=c grams of carbohydrates + other ingredients

Total calories in granola bite=27

The equation 4c + 5 = 27 represents the relationship between these quantities

1. 5 represent calories from other ingredients

2. Priya said that neither 8 nor 3 could be the solution to the equation

4c + 5 = 27

When the solution is 8

4(8)+5=27

32+5=27

37 =27

Solution 8 gives a higher calories than total calories

When solution is 3

4(3)+5=27

12+5=27

17=27

Solution 3 gives a lower calories than total calories

3. Solution to the equation

4c + 5 = 27

Subtract 5 from both sides

4c+5-5=27-5

4c=22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

c= 5 1/2 grams