Raoul is trying to find a new way to keep track of coffee beans. He can fit 1,000 beans in a tub, 100 beans in a large bag, and 10 beans in a small bag. He leaves any group of 9 or less on his counter. If Raoul has 2 tubs, 3 large bags, 1 small bag, and 5 beans on the counter, how many coffee beans does Raoul have altogether?

2,315 coffee beans.

Step-by-step explanation:

1 tub = 1,000

1 large bag= 100

1 small bag = 10

Raoul has:

- 2 tubs

- 3 large bags

- 1 small bag

- 5 beans on the counter

2 x 1,000 = 2,000

3 x 100 = 300

10 + 5 = 15

then, add all of the (bold) numbers together.

2,000 + 300= 2,300

2,300 + 15 = 2,315

Raoul has 2,315 beans altogether.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is