Question

Samuel goes to the market and purchases $5$ chocolates and $7$ pastries. If the cost of $1$ chocolate is $\$x$ and the cost of $1$ pastry is $\$y$, then find the algebraic expression for the total cost (in $\$$) of these two items.

• A. $5x\times 7y$
• B. $7x+5y$
• C. $5x+7y$
• D. $5x-7y$

Answer 1

The correct option is C $5x+7y$

Cost of $1$ chocolate $=\$x$
$\therefore$ Cost of $5$ chocolates
$=$ $5\times$ Cost of one chocolate
$=5\times \$x=\$5x$

And Cost of $1$ pastry $=\$y$
$\therefore$ Cost of $7$ pastries
$=7\times$ Cost of one pastry
$=7\times \$y=\$7y$

Total cost $=$ Cost of $5$ chocolates $+$ Cost of $7$ pastries
$=\$5x+\$7y$
$=\$(5x+7y)$

The total cost of the two items that Samuel purchased would be $\$(5x+7y)$.

Therefore, option (c.) is the correct answer.