tickets to the fair cost $8 for children and $15 for adults on Thursday 177 people enter the fair and they collected $2053. what number of the children and what number of adults attended?
Answers
Let
number of children tickets bought = c
number of adult tickets bought = a
We can now say that
c + a = 177
8c + 15a = 2053
because if you multiply c by the cost per child and a by the cost per adult, you will get the total revenue generated by all the tickets.
We now have a system of equations which can be solved by elimination (substitution).
Subtract a from both sides of the first equation.
c = 177 - a
Substitute 177 - a for c in the second equation.
8(177 - a) + 15a = 2053
Distribute.
1416 - 8a + 15a = 2053
Collect Like Terms.
1416 + 7a = 2053
Subtract 1416 from both sides.
7a = 637
Divide both sides by 7.
a = 91
Substitute 91 for a in the first modified equation.
c = 177 - 91
c = 86
Check.
The total number of people was 86 + 91 = 177 people.
The total revenue generated was 8(86) + 15(91) = 688 + 1365 = $2053.
There were 86 children and 91 adults.
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374 × 510 What are the partial products Lucas will need to solve the problem?
What is the area of triangle ABD?
Answers
Answer:
Step-by-step explanation:
Change 87% to its decimal form: .87
Take 50 and multiply it by .87
43.5 is the answer (if you have to round it is 44)
Answers
Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:
Finally, solve for x:
If you had 100 balloons, you will have 40 yellow balloons.
Hope this helps!!
Answers
this is your equation; x - 3 =11
and this is how you solve it;
x-3 =11
x -3 + 3 = 11+3
x = 14
and if you want to check it;
x - 3 =11
14 -3 =11
11 =11
Hope that helps:)
$270
$180
$60
$40
Answers
Answer:
The employee is responsible for $180
Answer:
$180
Step-by-step explanation:
$450×.60=$270
$450-$270=$180
A.
x ≥ –1
B.
x ≤ –1
C.
x ≤ –2
D.
x ≥ –2
Answers
Answers
Answer:
the modem is $8 per month
Step-by-step explanation: