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kolezko [41]
3 years ago
7

the Rodriguez family buys four adult tickets for senior tickets and five children tickets to the aquarium. The expression 4(a+12

)+5(8) represents the total cost of the tickets.
Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer: See Explanation

Step-by-step explanation:

You didn't really say what you want to calculate but based on the information, I'll assume that you want to calculate the total cost.

Since he expression 4(a+12)+5(8) represents the total cost of the tickets. Therefore, the total cost will be:

= 4(a+12)+5(8)

= 4a + 48 + 40

= 4a + 88

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In a recent student body election, Adam received 40 more than 40% of the votes. Brigitte received 40 less
Airida [17]

The total vote cast was 700.

The winner was Adam (received 320 votes)

Why?

To solve the problem, we need to make equations to express the number of votes received for each of the candidates.

Solving we have:

Let be "v" the total vote cast,

For Adam,

A=40+0.4*v

For Brigitte,

B=0.5(40+0.4v)-40

B=20+0.2v-40

B=0.2v-20

For Carl,

C=20+0.5*B

C=20+0.5*(0.2v-20)

C=10+0.1v

For Diane,

D=180votes

Now, the total vote cast will be:

v=A+B+C+D\\\\v=(40+0.4v)+(0.2v-20)+(10+0.1v)+180\\\\v=(40-20+10+180)+(0.4v+0.2v+0.1v)

v=210+0.7v\\\\v-0.7v=210\\\\v=\frac{210}{0.3}=700

Now, substituting "v" in each equation to calculate the number of votes for each candidate, we have:

Adam=40+0.4*700=320votes\\Brigitte=0.2*700-20=120votes\\Carl=10+0.1*700=80votes\\Diane=180votes

Hence, we have that the total vote cast was 700, and the winner was Adam (received 320 votes)

Have a nice day!

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