6(2x-8y=-24)
-2 (6x+4y=68)
12x-48y=-144
-12x-8y=-136
-56y=-280
-280÷-56=5
y=5
2x-8 (5)=-24
2x-40=-24
+40. +40
2x=16
16÷2=8
×=8
y=5
x=8
hope this helps, if needed a picture for better understanding,please comment.
Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)
Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8
Therefore, Peter hit 8 home runs and Alice hit 10 home runs.
Answer:
Adult=1,385.71
Children=814.29
Approximately
Adult=1386
Children=814
Step-by-step explanation:
c= number of children
a= number of adults
Admission fee for children=$4.50
Admission fee for adults=$8.00
Total attendees=2200
Total amount realized=$5050
We need two equations to solve the two unknowns
c + a=2200 (1)
4.50c + 8.00a=5,050 (2)
From (1)
c + a=2200
c=2200 - a
Substitute c=2200 - a into (2)
4.50c + 8.00a=5,050
4.50(2200 - a) + 8.00a=5050
9900 - 4.50a +8.00a=5050
Collect like terms
9900-5050= -4.50a+8.00a
4,850=3.5a
Divide both sides by 3.5
1,385.71=a
Substitute a=1,385,71 into (1)
c + a=2200
c+1385.71=2200
c=2200-1385.71
=814.29
c=814.29
X=100
360-63= 297
297-80=217
217-100=117
117/3=39
0.362 in expanded form is 0.3 + 0.06 + 0.002
