Let n = cost of 1 notebook
Let p = cost of 1 pencil
Then,
3n + 4p = 8.5
5n + 8p = 14.5
You can solve for one variable in terms of the other and then substitute into the remaining equation.
3n + 4p = 8.5
+ 5n + 8p = 14.5
Multiply the top equation by -2 so that the p-containing terms cancel each other out:
-2(3n + 4p = 8.5)
+ 5n + 8p = 14.5
-n + 0 = -2.5
So after dividing both sides by -1, we see that n = $2.5. Plugging into the first equation gives p = $0.25.
3n + 4p = 8.5
5n + 8p = 14.5
First, find the rate of flowers bought per hour:
48 / 3 = 16 flowers per hour.
Then, to find the amount bought after 2 hours, multiply the 16 flowers per hour by 2.
16 * 2 = 32.
After 2 hours, she will have bought 32 flowers.
50=30+3x
(Subtract 30 from both sides)
20=3x
(Divide each side by 3)
6.67=x
She would need to sell 7 plants per day if she wanted to make at least $50 a day if she took the second deal
a = 2x - 18
remove the parenthesis and simplify
x - 3 + x - a = 15
2x - 3 - a = 18 ( add 3 to both sides
2x - a = 18 ( subtract 2x from both sides )
- a = 18 - 2x ( multiply through by - 1 )
a = - 18 + 2x
a = 2x - 18
They pay $16,290 in taxes and deductions, so $108,600 divided by $16,290 is around 6.6%
