Question

if erasers come in packs of 5 and pencils come in packs of 10, what is the minimum number of packs you can buy to have the same amount of each? determine the area of a rectangle with a base of 12 feet and a height of 2.5 feet.

Explanation:

Step1: Find LCM of 5 and 10

The least common multiple (LCM) of 5 and 10 is 10, since $10$ is the smallest number divisible by both 5 and 10.

Step2: Calculate eraser packs needed

Number of eraser packs = $\frac{10}{5} = 2$

Step3: Calculate pencil packs needed

Number of pencil packs = $\frac{10}{10} = 1$

Step4: Total packs for equal count

Total packs = $2 + 1 = 3$
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Step1: Apply rectangle area formula

Area of rectangle = $\text{base} \times \text{height}$

Step2: Substitute given values

Area = $12 \times 2.5 = 30$

Answer:

1. Minimum total packs: 3 (2 packs of erasers, 1 pack of pencils)
2. Area of the rectangle: 30 square feet