Let x = Snicker Bars
Let y = Wrapping paper
Therefore, solve as simultaneous equation:
16x + 4y = 132
20x + 6y = 190
Solve for y:
16x + 4y = 132
x = 132 - 4y/16
Substitute value of x into 20x + 6y = 190:
20(132 - 4y/16) + 6y = 190
2640 - 80y/16 + 6y = 190
2640 - 80y = 16(190 - 6y)
2640 - 80y = 3040 - 96y
96y - 80y = 3040 -2640
16y = 400
y = 400/16
y = 25
Substitute value of y = 25 in x = 132 - 4y/16 to find x:
x = 132 - 4(25)/16
x = 2
Therefore, the prices per Snickers snack bars is 2.
Answer:
185 adults and 184 children
Step-by-step explanation:
People entering the park = adults plus children
369 = a+c
Total money = admission fee for kids * number of children + admission fee for adults * number of adults
1671 = 3.25c + 5.80a
We have 2 equations and 2 unknowns
Solve the first equation for a by subtracting c from each side
369-c = a+c-c
369-c =a
Substitute this in to the second equation
1671 = 3.25 c +5.80 (369-c)
Distribute the 5.8
1671 =3.25c +5.8*369 - 5.8c
1671 = 3.25c +2140.2-5.8c
Combine like terms
1671 = -2.55c +2140.2
Subtract 2140.2 from each side
1671-2140.2 = -2.55c +2140.2-2140.2
-469.2 = -2.55c
Divide by -2.55 on each side
-469.2/-2.55 = -2.55c/-2.55
184 =c
There were 184 children
Now we need to find a
369 = a+c
369 = a+184
Subtract 184 from each side
369-184 = a+184-184
185 =a
There were 185 adults
2d-7=11d+26
-2d-26=-2d-26
-33/9=9/9d
d= -33/9
d= - 11/3
Is this what you're asking for?
Answer:
24 feet
Step-by-step explanation:
Length: x
Width: 5x/8
Area = x(5x/8) = 360
x² = 576
x = 24
