the country recreation department cleared a 3/4 mile long walking trail in Washington park. if the trail will be marked every 1/
1 answer:
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Answer:
a = $13.5
Step-by-step explanation:
Let a = adult tickets
Let c = children tickets
Translating the word problem into an algebraic equation;
<u>For the Martinez family;</u>
2a + 3c = $60
<u>For the Wright family;</u>
3a + 5c = $95.5
Thus, the simultaneous equations are;
..........equation 1
.........equation 2
We would use substitution method to solve;
From equation 2, we make a the subject of formula;
3a = 95.5 - 5c
a = (95.5 - 5c)/3
<em>Substituting the value of "a" into equation 1, we have;</em>
2[(95.5-5c)/3] + 3c = 60
Multiplying all through by 3;
2(95.5 - 5c) + 9c = 180
191 - 10c + 9c = 180
191 - c = 180
c = 191-180
c = $11
To find the value of a;
2a +3c = 60
<em>Substituting the value of "c" into the equation, we have;</em>
a = $13.5
<em>Therefore, the cost of an adult movie ticket is $13.5. </em>
The total number of possible choices that John had for making baked goods for the party is 8.
<h3>What is Combination?</h3>The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
where,
n is the number of choices available,
r is the choices to be made.
We know that the number of choices with John for his baked goods is only two which are muffins or bread, therefore, the choices of the baked good can be written as .
Also, the number of choices with John for flavors is four which are blueberries, bananas, apples, or chocolate chips, therefore, the choices of the flavor can be written as .
Now, the total possible choices that John had
= The choices of the baked good x The choices of the flavor
Hence, the total number of possible choices that John had for making baked goods for the party is 8.
Learn more about Combination: