A group of boys and girls were surveyed on their favorite football team. 5 more boys favored the Giants compared to the girls. A total of 33 boys and girls were surveyed. How many boys liked the Giants and how many girls liked the Giants?
Accepted Solution
A:
Answer: 19 boys and 14 girls liked the Giants.Step-by-step 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: [tex]\left \{ {{b+g=33} \atop {b=g+5}} \right.[/tex] 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": [tex](g+5)+g=33\\\\2g=33-5\\\\g=\frac{28}{2}\\\\g=14[/tex] And finally, you must substitute the value of "g" into the second equation in order to find the value of "b". Then: [tex]b=(14)+5\\\\b=19[/tex]