Given :
On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .
The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.
To Find :
The price of a senior ticket and the price of a child ticket.
Solution :
Let, price of senior ticket and child ticket is x and y respectively.
Mathematical equation of condition 1 :
10x + y = 85 ...1)
Mathematical equation of condition 2 :
5x + 7y = 75 ...2)
Solving equation 1 and 2, we get :
2(2) - (1) :
2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0
10x + 14y - 150 - 10x - y + 85 = 0
13y = 65
y = 5
10x - 5 = 85
x = 8
Therefore, price of a senior ticket and the price of a child ticket $8 and $5.
Hence, this is the required solution.
I believe she hike 33.33% of the trail
Find a common denominator to begin. The common denominator is the LCM of both denominators. In this case, the common denominator will be 24.
Now, multiply the numerator by the number you multiplied the denominator. For 2/3, you multiplied 3 by 8, so multiply 2 by 8 to get 16. The fraction is now 16/24. Multiply 4 by 3 since you multiplied 8 by 3 to get 24. You will get 12 and the fraction will become 12/24.
Then, compare. 16/24 is closer to 24/24, or one whole, so 16/24, or 2/3, is greater.
Answer:
<em>Tim </em><em>will </em><em>get </em><em>£</em><em> </em><em>8</em>
<em>Sam </em><em>will </em><em>get </em><em>£</em><em> </em><em>3</em><em>2</em>
<em>Solution,</em>
<em>let </em><em>the </em><em>ratios </em><em>be </em><em>x </em><em>and </em><em>4</em><em>x</em>
<em>
</em>
<em>hope </em><em>this </em><em>helps.</em><em>.</em><em>.</em>
<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>
Answer:
see explanation
Step-by-step explanation:
(1)
The sum of the 3 angles in a triangle = 180° , thus
a + b + c = 180
(2)
adjacent angles are supplementary, thus
b + d = 180
(3)
From (1) and (2)
b + d = a + b + c ( subtract b from both sides )
d = a + c
