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Ber [7]
3 years ago
7

The entry for a science exhibition is $5 for students and four dollars more than the students for adults. On a particular day, 6

00 people visited the exhibition and $3500 was collected. How many students and adults visited on that day?
Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

475 students, 125 adults

Step-by-step explanation:

x + y= 600......equation 1

5x +9y= 3500.......equation 2

From equation 1

x +y = 600

x= 600-y

Substitute 600-y for x in equation 2

5(600-y) +9y= 3500

3000-5y+9y= 3500

3000+4y= 3500

4y= 3500-3000

4y= 500

y= 500/4

y= 125

Substitute 125 for y in equation 1

x + y= 600

x + 125= 600

x = 600-125

x= 475

Hence there are 475 students and 125 adults

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WARRIOR [948]

\huge\text{Hey there!}


\mathsf{5^{x - 2} = 5^8}

\mathsf{5^{x - 2} = 5\times5\times5\times5\times5\times5\times5\times5}

\mathsf{5^{x - 2} = 25\times25\times25\times25}

\mathsf{5^{x - 2} = 625\times625}

\mathsf{5^{x - 2} =390,625}

\large\textsf{Solving for the exponent:}

\mathsf{5^{x - 2} =390,625}

\large\textsf{Take the log (logarithm) to both of the sides:}

\mathsf{log(5^{x - 2} \rightarrow  log(390,625)}

\large\textsf{Simplify it:}

\mathsf{(x - 2) \times(log (5)) \rightarrow log(390,625)}

\large\textsf{Simplify that as well:}

\mathsf{x - 2 = \dfrac{log(390,625)}{log(5)}}

\large\textsf{You get it: }\mathsf{x - 2 = 8}

\large\textsf{ADD by 2 to BOTH of the SIDES:}

\mathsf{x - 2 + 2 = 8 + 2}

\large\textsf{Simplify it:}

\mathsf{x = 8 + 2}

\mathsf{x = 10}


\huge\textsf{Therefore, your answer should be:}

\huge\boxed{\mathsf{x =} \frak{10}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}


~\frak{Amphitrite1040:)}

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