Answer:
212 children, and 265 adults
Step-by-step explanation:
To find the number of children and adults, we can set up a systems of equations.
x= number of children
y= number of adults
Equation 1: Price
1.50x+2.25y=914.25
Equation 2: Total number of people
x+y=477
Now, let's solve the equation using substitution.
Rearrange the second equation to solve for one variable.
x+y=477
x=477-y
Now plug x equals into the first equation, and solve for y.
1.50x+2.25y=914.25
1.50(477-y)+2.25y=914.25
715.5-1.50y+2.25y=914.25
715.5+0.75y=914.25
0.75y=198.75
y=265
We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.
x+y=477
x+265=477
x=212
If you’re trying to elimination the answer would be (14,9)
The answer is II and III, which is the last choice from above. This is because the symbol "less than (or equal to)" indicated a conjunction, which means we have to take into account that the absolute value can be less than or equal to 15, and greater than or equal to -15. This solution set falls in between the two values, hence, the conjunction.
Answer:
- $5 bills x 5, $1 bills x 10, quarters x 16, dimes x 9
Step-by-step explanation:
- $5 bills = x, total = 5x
- $1 bills = 2x, total = x
- Quarters = 3x + 1, total = 0.25(3x + 1)
- Dimes = 3x + 1 - 7= 3x - 6, total = 0.1(3x - 6)
<u>Equation below as the sum, solve for x:</u>
- 5x + 2x + 0.25(3x + 1) + 0.1(3x - 6) = 39.9
- 7x + 0.75x + 0.25 + 0.3x - 0.6 = 39.9
- 8.05x - 0.35 = 39.9
- 8.05x = 40.25
- x = 40.25/8.05
- x = 5
<u>Number of each bill and coin:</u>
- $5 bills = 5
- $1 bills = 2*5 = 10
- Quarters = 3*5 + 1 = 16
- Dimes = 3*5 - 6 = 9
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and surely, you'd know what that is
