Question

The cost for $2$ adults and $3$ children on horse ride is 14$. If each child's fare is one-half of each adult's fare, find the total cost for one adult and one child.

• A. 4.00$
• B. 5.25$
• C. 6.00$
• D. 6.50$

Answer 1

The correct option is C 6.00$Letthecostofhorserideforoneadultis$x$

Then as per given question cost of one child is half of one adult $=$ $\frac{x}{2}$

Then cost of $2$ adults of horse ride $=2x$

And cost of $3$ children of horse ride $=$ $\frac{x}{2}\times 3=\frac{3x}{2}$

Then total cost of $2$ adults and $3$ children of horse ride $=$ $2x+\frac{3x}{2}$

But total cost of $2$ adults and $3$ children of horse ride is $\$14$ ....(Given)

$\therefore 2x+\frac{3x}{2}=14$

$\Rightarrow 4x+3x=28$

$\Rightarrow 7x=28$

$\Rightarrow x=4$

So cost of horse ride for one adult is $\$4$

Then cost of horse ride for one children $=$ $\frac{4}{2}=$2$

Then total cost of one adult and one child $=$ $4+$2=$6