I used the generic rectangle/diamond method, although the quadratic formula would work just as well with a=3, b=11, c=6. Put that into the quadratic formula

to get that your factors are x = -2/3 and -3. Putting those into factorization form you get the 2 factors as (3x+2)(x+3)
Step-by-step explanation:
Marked price (MP) = x
Selling Price after discount (SP after discount)
= Rs. 1350
Discount rate = 25%
Now
SP after discount = MP - discount % of MP
1350 = x - 25 % of x
1350 = x - x / 4
1350 = 3x / 4
1350 * 4 =3x
5400 / 3 = x
Therefore x = Rs. 1800
The marked price is Rs. 1800
Answer:
graph a is the correct answer
Step-by-step explanation:
Answer:
this hurts my brain x_x my non-existent brain....
<h3>16 lollipops and 9 bags of chips are sold</h3>
<em><u>Solution:</u></em>
Let "x" be the number of lollipops sold
Let "y" be the number of bags of chips sold
Cost of 1 lollipop = $ 1.50
Cost of 1 bag of chip = $ 1.75
<em><u>Yesterday Lucy made $39.75 from selling a total of 25 lollipops and bags of chips</u></em>
Therefore,
x + y = 25
y = 25 - x -------- eqn 1
<em><u>Yesterday Lucy made $39.75</u></em>
Therefore,
number of lollipops sold x Cost of 1 lollipop + number of bags of chips sold x Cost of 1 bag of chip = 39.75

1.5x + 1.75y = 39.75 -------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
1.5x + 1.75(25 - x) = 39.75
1.5x + 43.75 - 1.75x = 39.75
0.25x = 4
<h3>x = 16</h3>
<em><u>Substitute x = 16 in eqn 1</u></em>
y = 25 - 16
<h3>y = 9</h3>
Thus 16 lollipops and 9 bags of chips are sold