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3 years ago

Seth's father is thinking of buying his son a summer movie pass for $30 dollars. With the pass, matiness cost $4 each.

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Answer:

Seth saved $90.

Step-by-step explanation:

1.Find out how much would be spent without buying the movie pass.

Multiply the amount of money that one would spend for each movie, by the number of movies one saw.

8 * 30 = 240

2.Find out the amount that was actually spent

Multiply the amount that was actually spent on each movie, by the number of movies that were seen. Then add the additional cost of the pass.

(4 * 30) + 30

= 120 + 30

= 150

3. Find the difference between the two values.

Subtract the amount that one was supposed to spend by the amount one did spend.

240 - 150

= 90

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Answer:

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Step-by-step explanation:

Let's set up a system of equations. (1 equation for yesterday and 1 for today).

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Notice that both equations have a 2h. If we subtract the two equations, the 2h will cancel and leave us with one variable, c.

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Since we are solving for c, we must isolate the variable. It is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

$-3c/-3=-300/-3 \\c= -300/-3 \\c=100$

Now we have to solve for h. Plug 100 in for c in the first equation.

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100 is being added, so we must subtract 100 from both sides.

$2h+100=194-100 \\2h=94$

h is being multiplied by 2, so we divide both sides by 2.

$2h/2=94 \\h=47$

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