Question

Sandra is making decorations for a school dance out of construction paper. Each decoration uses 2 2/3 sheets of paper. Sandra notices that she only has 10 1/2 sheets of paper. How many completed decorations can she make with the paper she has?

Answer 1

Sandra can make exactly 3 complete decorations with the 10 1/2 sheets of construction paper she has, as each decoration requires 2 2/3 sheets.

Step-by-step explanation:

The question relates to Sandra making decorations for a school dance, and she wants to know how many complete decorations she can produce with a limited amount of construction paper. Each decoration requires 2 2/3 sheets of paper, and Sandra has 10 1/2 sheets available.

To find out how many decorations Sandra can make, we need to divide the total number of sheets she has by the number of sheets required for one decoration:

Total sheets available ÷ Sheets required per decoration = Number of decorations

First, convert mixed numbers to improper fractions:

10 1/2 sheets = (10 × 2 + 1)/2 = 21/2 sheets
2 2/3 sheets = (2 × 3 + 2)/3 = 8/3 sheets

Now, divide 21/2 by 8/3:

(21/2) ÷ (8/3) = (21×3)/(2×8) = 63/16

Sandra can make 3 whole decorations, since 63/16 is roughly 3 with remainder. So, Sandra can't use the remainder to make a complete fourth decoration, thus she can make exactly 3 decorations.