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liberstina [14]
4 years ago
6

An account earns simple interest.

Mathematics
1 answer:
olasank [31]4 years ago
3 0
Data:
P (Principal) = $1500
I (Simple Interest) = ?
t (time) = 5 years 
r (percentage rate) = 4% = 0.04

Formula:
I = P*r*t

Solving (1) <span>Find the interest earned.</span>
I = P*r*t
I = 1500*0.04*5
\boxed{\boxed{I = 300}}\end{array}}\qquad\quad\checkmark

Solution (2) <span>Find the balance of the account.
</span>The future value, (Account), of a loan is given by the equation: A = P + I
A = P + I
A = 1500 + 300
\boxed{\boxed{A = 1800}}\end{array}}\qquad\quad\checkmark



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65 adult tickets and 24 children tickets were sold

<u><em>Solution</em></u><u><em>:</em></u>

Let "a" be the number of adult tickets sold

Let "c" be the number of children tickets sold

Cost of 1 adult ticket = $ 4.10

Cost of 1 children ticket = $ 2.70

<em><u>Last Thursday, a total of $331.30 was collected from 89 movie watchers</u></em>

Number of movie watchers = 89

number of adult tickets sold + number of children tickets sold = 89

a + c = 89

c = 89 - a ----------- eqn 1

<em><u>They collected a total of $ 331.30</u></em>

Therefore, we frame a equation as:

number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = 331.30

a \times 4.10 + c \times 2.70 = 331.30

4.1a + 2.7c = 331.3 ------ eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

4.1a + 2.7(89 - a) = 331.3

4.1a + 240.3 - 2.7a = 331.3

Combine the like terms

1.4a = 331.3 - 240.3

1.4a = 91

<h3>a = 65</h3>

<em><u>Substitute a = 65 in eqn 1</u></em>

c = 89 - 65

<h3>c = 24</h3>

Thus 65 adult tickets and 24 children tickets were sold

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