Question

problem solving

1. mr. calzada buys flags for his store. each flag costs $28.

how many flags can he buy for $350? what does the
remainder represent?

1. the area of a rectangle is 384 square feet

and the width is 24 feet. find the length.

1. dreanne uploads 292 pictures to her online album.

her online album shows 12 pictures on each page.
how many pages does she scroll through to see all
292 pictures? what does the remainder represent?

Explanation:

Step1: Calculate the number of flags

We use the division formula \(n=\frac{\text{total money}}{\text{cost per flag}}\). Here, the total money is \(350\) and the cost per flag is \(28\). So, \(350\div28 = 12\) with a remainder of \(14\).

Step2: Calculate the length of the rectangle

The area formula of a rectangle is \(A = l\times w\), where \(A\) is the area, \(l\) is the length and \(w\) is the width. Given \(A = 384\) and \(w=24\), we solve for \(l\) using \(l=\frac{A}{w}\). So, \(l=\frac{384}{24}=16\).

Step3: Calculate the number of pages

We use the division formula \(n=\frac{\text{total pictures}}{\text{pictures per page}}\). Here, the total pictures is \(292\) and the pictures per page is \(12\). So, \(292\div12 = 24\) with a remainder of \(4\).

Answer:

1. He can buy \(12\) flags. The remainder \(14\) represents the money left over that is not enough to buy another flag.
2. The length is \(16\) feet.
3. She scrolls through \(25\) pages. The remainder \(4\) represents the number of pictures on the last partially - filled page.