Question

A kite and a spool cost $29.75 together. Jason paid $228.55 for 12 kites and 5 spools. How much did it cost for 2 kites and 4 spools?

Answer 1

Answer:

A kite and a spool cost $29.75 together.

$x + y = 29.75$

$228.55 for 12 kites and 5 spools

$12x + 5y = 228.55$

Solving the linear equations

We get,

$x = \frac{57}{5} \: \: \: and \: \: \: y = \frac{367}{20}$

Now, cost for 2 kites and 4 spools

$\\ 2 \times \frac{57}{5} + 4 \times \frac{367}{20} \\ = \frac{114}{5} + \frac{367}{5} \\ = \frac{481}{5} = 96.2$

= $96.20