Sure! Let's break this down step by step:
Samantha spent a total of 40 minutes on her homework. We are told that 60% of that time was dedicated to language arts. We need to figure out how many minutes 60% of 40 minutes is.
Step 1: Understanding percentages
- 60% means 60 out of 100. In other words, 60% is 0.60 in decimal form.
Step 2: Calculating the time spent on language arts
- To find 60% of 40 minutes, you multiply 40 by 0.60:
[tex]\[ 40 \times 0.60 = 24 \][/tex]
Therefore, Samantha spent 24 minutes on language arts.
Let's confirm this by organizing the information given:
Total time spent on homework is 40 minutes, and each 10% of this is:
[tex]\[ 40 \times \frac{10}{100} = 4 \text{ minutes} \][/tex]
By looking at the table format provided and recognizing that each 10% represents 4 minutes, we can calculate 60% step-by-step:
[tex]\[ 10\% = 4 \text{ minutes} \][/tex]
[tex]\[ 20\% = 4 \text{ minutes} \times 2 = 8 \text{ minutes} \][/tex]
[tex]\[ 30\% = 4 \text{ minutes} \times 3 = 12 \text{ minutes} \][/tex]
[tex]\[ 40\% = 4 \text{ minutes} \times 4 = 16 \text{ minutes} \][/tex]
[tex]\[ 50\% = 4 \text{ minutes} \times 5 = 20 \text{ minutes} \][/tex]
[tex]\[ 60\% = 4 \text{ minutes} \times 6 = 24 \text{ minutes} \][/tex]
By both methods, we reach the same result: Samantha spent 24 minutes on language arts.
