Question

Tasha is packing gift bags that include

the same items. She has 72 glow sticks,

36 markers, and 24 bottles of bubbles.

Tasha believes that she can pack no

more than 6 bags using all of her

supplies. Do you agree with Tasha? Explain.

Answer 1

No, I do not.

She can pack up to 12 bags

Explanation:

Given

`Glow\ sticks = 72`

`Markers = 36`

`Bubbles = 24`

Required

Is Tasha correct?

The maximum number of bags she can pack is determined by the greatest common factors (GCF) of the items.

i.e. GCF of 72, 36 and 24.

This is calculated as:

`24 = 2*2*2*3`

`36 = 2 * 2 *3*3`

`72 = 2 * 2 * 2 *3*3`

Multiply all common factors:

`GCF = 2 * 2 * 3`

`GCF = 12`

The GCF is 12.

This implies that she can pack up to 12 bags