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3 years ago

10

Admission tickets are $80 for adults and $50 for kids. The ration of kids to adults is 5:2. If they paid $10,000, find the numbe

r of adults in the group.

1 answer:

Elan Coil [88]3 years ago

4 0

Answer:

80 adults

Step-by-step explanation:

The number of kids is $10,000/$50 = 200. The number of adults is 2/5 of that, or 80.

There are 80 adults in the group.

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Let p=3x+4. Which equation is equivalent to (3x+4)^2-36=15x+20 in terms of p

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The equation is " $\bold{p^2-5p-36=0}$ "

Step-by-step explanation:

Given:

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$\to (3x+4)^2-36=15x+20\\\\\to (3x+4)^2-36=5(3x+4)\\\\\to p^2-36=5p\\\\$

Expression in terms of p:

$\to \bold{p^2-5p-36=0}\\\\$

$\to p^2-(9-4)p-36=0\\\\\to p^2-9p+4p-36=0\\\\\to p(p-9)+4(p-9)=0\\\\\to (p-9)(p+4)=0\\\\\to p-9=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to p+4=0\\\\\to \bold{p=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to p=-4}\\\\\to 3x+4=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to 3x+4=-4\\\\\to 3x=5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to 3x=-8\\\\\to x=\frac{5}{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \to x=- \frac{8}{3}\\\\$

The value of p: 9 and -4

Equation is: $\bold{p^2-5p-36=0}$

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