Answer: 19 boys and 14 girls liked the Giants.
Explanation:
Let be "b" the number of boys who liked the Giants and "g" the number of girls who liked the Giants.
Based on the information given, set up a system of equations:
![\left \{ {{b+g=33} \atop {b=g+5}} \right.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/js0wf65ngyx4v5odgn477idzwnw9clnpwe.png)
Use the Substitution method to solve this system of equations.
First, you must substitute the second equation in the first equation and solve for "g":
![(g+5)+g=33\\\\2g=33-5\\\\g=(28)/(2)\\\\g=14](https://img.qammunity.org/2020/formulas/mathematics/middle-school/de7x6o9jr9sw2axpa9co1et8zmas7zl66w.png)
And finally, you must substitute the value of "g" into the second equation in order to find the value of "b".
Then:
![b=(14)+5\\\\b=19](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n0tbazslwdtonvn7uvyxddct6s738wydzu.png)