Question

6. A store sells notepads in packages of 24 and packages of 6. The organizersof a conference needs to prepare at least 200 notepads for the event.6a. Would they have enough notepads if they bought five packages of 24and fifteen packages of 6?·Your answer6b. Write an inequality to represent the relationship between the numberof large and small packages of notepads and the number of notepadsneeded for the event.24x + 6y 2 20024x + 6y > 2000 24x + 6y < 2000 24x + 6y 5 200

Answer 1

6a.

to find out how many notepads they have we need to multiplicate the number of packages for the number of notepads the package has. so

they bought:

-5 packages of 24 (5*24=120 notepads)

- 15 packages of 6 (15*6=90 notepads)

So the number of notepads they bought was: 120+90= 210 notepads

they needed at least 200 so the answer is:

Yes, they have enough notepads.

6b.

you can see the only difference between the options it's the sign, so they need at least 200, which means 200 or more. we use the 'greater than or equal to' symbol.

so the answer is:

`24x+6y\ge200`