# math

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Mr.Jacobsen wants to hire a magician for his son's birthday party.
Marion has a travel fee of \$30 and charges \$15 per hour. Gregory has a travel fee of\$50 and charges \$10 per hour. Define a variable. Then write a system of equatins to represent the situation. Solve the systemof equations. Interpret the solution.

• math -

I assume the problem is to find at which point the two magicians will charge the same amount.

for x hours,
m = 30 + 15x
g = 50 + 10x

so, when does m=g?

30+15x = 50+10x
5x = 20
x = 4

So, at 4 hours,
marion charges 30 + 4*15 = 90
greg charges 50 + 4*10 = 90

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