Question

Eric and Pam are paid ​$29.75 for their work. Eric worked 1.5 ​hours, and Pam worked 2 hours. They split the money according to the amount of time each of them worked. How much is Eric​'s share of the​ money?

Answer 1

To calculate Eric's share of the $29.75, we find the proportion of time he worked relative to the total time worked and multiply by the total payment. Eric worked 1.5 hours out of 3.5 hours total; thus, his share is $12.75.

Step-by-step explanation:

To determine Eric's share of the money, we need to calculate the proportion of the total working time that Eric contributed. Eric worked for 1.5 hours while Pam worked for 2 hours, making a total of 3.5 hours combined. To find Eric's share, we divide the amount of time Eric worked by the total time worked and then multiply by the total money earned.

Step 1: Calculate the total time worked by Eric and Pam together.
Eric's hours + Pam's hours = 1.5 hours + 2 hours = 3.5 hours total.

Step 2: Calculate Eric's proportion of the total time.
Eric's hours / Total hours = 1.5 hours / 3.5 hours.

Step 3: Calculate Eric's share of the money.
Total money earned × Eric's proportion of time = $29.75 × (1.5 hours / 3.5 hours).

After performing the calculations, we find that Eric's share is $12.75.