Question

The cost of an adult ticket in an amusement park is $\$20,$ whereas the cost of a child ticket is $\$15.$ Find the expression for the amount of money (in dollars) required to purchase the tickets for a family with $a$ number of adults and $c$ number of children.

• A. $\$(20+15)$
• B. $\$(20c+15a)$
• C. $\$\left(35c\right)$
• D. $\$(20a+15c)$

Answer 1

The correct option is D $\$(20a+15c)$

One adult's ticket cost $=\$20$
Total number of adults in the family $=a$
$\therefore$ Cost of tickets for all $a$ adults $=\$20a$

One child's ticket cost $=\$15$
Total number of children in the family
$=c$
$\therefore$ Cost of tickets for all $c$ children $=\$15c$

Hence, the total cost of tickets towards a family trip in an amusement park with $a$ adults and $c$ children $=$ Ticket cost for $a$ adults $+$ Ticket cost for $c$ children $=\$(20a+15c).$

Therefore, option (d.) is the correct choice.