Question

Handy Max Speed, Inc. makes custom skateboards for its customers. Two wooden skateboards and three composite skateboards cost $\$650$. Three wooden skateboards and one composite skateboard cost $\$450$. How much would Handy Max Speed charge a customer who purchases five wooden skateboards and four composite skateboards?

• A. $\$500$
• B. $\$600$
• C. $\$1,000$
• D. $\$1,100$

Answer 1

The correct option is D $\$1,100$

Let cost of wooden skateboard is $x$ and composite skateboard is $y$

Then according to the question

$\Rightarrow 2x+3y=650$......eq(1)

$\Rightarrow 3x+y=450$.........eq(2)

Multiply the eq(2) by 3

$\Rightarrow 9x+3y=1350$......eq(3)

Subtract the eq(1) and eq(3), we get

$\Rightarrow -7x=-700$

$\Rightarrow x=100$

Put the vale of $x$ in eq (2), we get

$\Rightarrow 3\times 100+y=450$

$\Rightarrow 300+y=450$

$\Rightarrow y=450-300$

$\Rightarrow y=150$

Then the cost of five wooden sketboards and four composite skateboards is

$\Rightarrow 5x+4y=5\times 100+4\times 150$

$\Rightarrow 500+600=$1100$