Answer:
8 student tickets and 1 adult ticket
Step-by-step explanation:
5 times 8 is 40
40 plus 8 is 48
which gives you $48.00
Answer:
2. Judy =$5
Ben= $4
Step-by-step explanation:
2. Let Judy = x and Ben = y
8x + 10y = 80
9x + 5y = 65
Solve these simultaneous equations.
8
x + 10
y = 80
18
x + 10
y = 130
Take the second equation away from the first equation
−
10
x = −
50
x = 5
This means that Judy gets paid $5 an hour.
Therefore, Ben gets paid $4 an hour.
Answer:
3. 24 quarters and 16 dimes
Step-by-step explanation:
3. Let the number of dimes = x and the number of quarters = y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
dimes x $0.10 $0.10x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 40 $7.60
x + y = 40
0.10x + 0.25y = 7.60
Get rid of decimals by multiplying every term by 100:
10x + 25y = 760
So we have the system of equations:
x + y = 40
10x + 25y = 760
We solve by substitution. Solve the first equation for y:
x + y = 40
y = 40 - x
Substitute (40 - x) for y in 10x + 25y = 760
10x + 25(40 - x) = 760
10x + 1000 - 25x = 760
-15x + 1000 = 760
-15x = -240
x = 16 = the number of dimes.
Substitute in y = 40 - x
y = 40 - (16)
y = 24 quarters.
$1.60 + $6.00 = $7.60
I hope that helped, sorry for taking so long :-)
Answer:
Step-by-step explanation:
1. y = -2x + 7
2. Graph it (Mark (0, 7) or 7 on the y axis and go over one, down two, mark it and draw a line through both)
3. -2y = -x + 6
4. divide entire equation by 2 to isolate y
5. -y = -x + 3
6. multiply entire equation by -1 to make it positive
7. y=x+3
8. graph it (Mark (0,3) and go over one, down one, mark it and draw a line through both new points)
9. Where the lines intersect is your answer
X-4y=13 would match the best
