Question

4. Gordon purchased 5 false teeth and 10 fake
spiders and spent a total of $35. The price of
the false teeth is two less than than four times
the price of the spider. Let x be the price of
the false teeth and let y be the price of the
fake spider.

Answer 1

The price of fake teeth is $4 and the price of fake spiders is $1.50.

Two equations can be derived from this question:

5x + 10y = 35 equation 1

x = 4y - 2 equation 2

Where:

x = false teeth

y = fake spiders.

In order to determine the value of y, substitute for x in equation 1:

5(4y -2) + 10y = 35

20y - 10 + 10y = 35

Add similar terms

30y - 10 = 35

Combine similar terms

30y = 45

y = 45 / 30

y = $1.50

Substitute for y in equation 2

x = 4(1.50 - 2

x = 6 - 2

x = 4

To learn more about simultaneous equations, please check: brainly.com/question/23589883