Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.

Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:

$\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x$

This is the remaining portion of the potatoes.

Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:

$\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x$

Thus:

$\frac{1}{12}x=10$

x = 120 lb

Farmer Bill sold 120 lb of potatoes

5 0

3 years ago

Choose ONE of the angles problems to write an equation for and solve. WRITE AN EQUATION, solve the equation, and give the answer

inessss [21]

Answer:

Option 1: 2x + 11 = 90.

x = 79/2 or 39.5 degrees

Step-by-step explanation:

Option 1: You know that the angle for option one is 90 degrees because of the marking. Since you know that part of the angle is 11 degrees, you can set up an equation for 2x + 11 which equals to 90 degrees.

8 0

3 years ago