Answer:
110 chocolate cupcakes
88 vanilla cupcakes
Step-by-step explanation:
5chocolate to 4 vanilla
5x+ 4x = 9x
9x=198,
x = 22
22 * 5=110 chocolate cupcakes
22 * 4=88 vanilla cupcakes
CHECK: 88 + 110 = 198
You can reword the two equations as:
-5x-y=15 (Divide original value by 3)
-2x+6y=6
Then use elimination to find x:
-30x-6y=90 (Multiply by 6 to get y values to be same to cancel out)
-2x+6y=6
You're left with:
-32x=96. Which can then be solved to find x which is -3.
Then plug back in
-2x+6y=6
Now to: -2(-3)+6y=6.
Which reduces to 6+6y=6. So y=0.
To graph them, just reword the equations (yes once again) so that y is in front.
y=-5x-15 and y=(1/3)x+1
1/3x +2/3x>-3/4x+1/3
1/3x+2/3x+3/4x<1/3
1/3x ×4= 4/12
2/3x ×4= 8/12
3/4 ×3= 6/12
18/12x<1/3
x<.22
94% of the required days, if you wanted percentages