MATH SOLVE

4 months ago

Q:
# At the Denver zoo, adult admission is $15 and children's is $9 a group of 12 people go to the zoo. Their total admission was $150. Set up a system of linear equations and solve

Accepted Solution

A:

Answer:The number of adults admitted at the zoo=7The number of children admitted at the zoo=5Step-by-step explanation:a). Determine first expressionLet the number of each group be as follows;adults=achildren=ctotal number of people=12This can be expressed as;number of people=number of children+number of adultsreplacing;a+c=12...equation 1b). Determine the second expressionLet the total cost be expressed as shown;total cost=(cost per child×number of children)+(cost per adult×number of adults)where;total cost=$150cost per child=$9number of children=ccost per adult=$15number of adults=areplacing;(15×a)+(9×c)=15015 a+9 c=150...equation 2c). Combine equation 1 and 2 and solve simultaneously1(15 a+9 c=150)-9(a+c=12)=9 a+9 c=108(15 a-9 a)+(9 c-9 c)=(150=108)6 a=42a=42/6a=7replacing the value for a in equation 17+c=12c=12-7=5The number of adults admitted at the zoo=7The number of children admitted at the zoo=5