Answer: Rs. 69
Step-by-step explanation:
Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.
Step 1:
According to the question, we get
Equation 1:
6x + 4y = 228
Equation 2:
13x + 7y = 459
Step 2:
Then, by multiplying equation 1 by 7 & equation 2 by 4, we get
7 * [6x + 4y = 228]
⇒ 42x + 28y = 1596 …. (iii)
And,
4 * [13x + 7y = 459]
⇒ 52x + 28y = 1836 …. (iv)
Step 3:
Now, Subtracting eq. (iii) from eq. (iv), we get
52x + 28y = 1836
42x + 28y = 1596
(-) (-) (-)
---------------------------
10 x = 240
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⇒ x = 240/10 = 24
Substituting the value of x in Eq. (1)
(6*24) + 4y = 228
⇒ y = [228 - 144]/4 = 21
Step 4:
Thus,
The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,
= 2x + y
= (2*24) + 21 ….. [substituting x= 24 & y = 21]
= Rs. 69
Step-by-step explanation:
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