type the correct answer in each box. use numerals instead of words. theo and kade worked on a school project…

type the correct answer in each box. use numerals instead of words. theo and kade worked on a school project together. theo worked on the project 3 fewer hours than kade did. altogether, they worked for a total of 27 hours. how many hours did they each work on the school project? theo worked on the project for hours. kade worked on the project for hours.

type the correct answer in each box. use numerals instead of words. theo and kade worked on a school project together. theo worked on the project 3 fewer hours than kade did. altogether, they worked for a total of 27 hours. how many hours did they each work on the school project? theo worked on the project for hours. kade worked on the project for hours.

Answer

Explanation:

Step1: Let the hours Kade worked be $x$.

Theo worked $x - 3$ hours.

Step2: Set up an equation based on total hours.

$x+(x - 3)=27$

Step3: Simplify the left - hand side of the equation.

$2x-3 = 27$

Step4: Add 3 to both sides of the equation.

$2x=27 + 3=30$

Step5: Solve for $x$.

$x=\frac{30}{2}=15$

Step6: Find the hours Theo worked.

Theo worked $x - 3=15 - 3 = 12$ hours.

Answer:

Theo worked on the project for 12 hours. Kade worked on the project for 15 hours.