Question

Cecilia, Daniel and Eunice shared five hamburgers equally. Three burgers were bought by Daniel while the other two burgers were bought by Eunice. Cecilia paid Daniel and Eunice a total of $9 for her share. How much should Daniel and Eunice each get?

Answer 1

Explanation:

Since there are 5 hamburgers to be shared equally among Cecilia, Daniel, and Eunice, each of them should get 5/3 hamburgers.

Daniel bought 3 hamburgers, so he has 3 - 5/3 = 4/3 hamburgers left to share with Cecilia and Eunice.

Eunice bought 2 hamburgers, so she has 2 - 5/3 = 1/3 hamburgers left to share with Cecilia and Daniel.

To split the $9 that Cecilia paid, we need to find out how much each hamburger is worth. Since there are 5 hamburgers in total, the cost of each hamburger is $9/5 = $1.80.

Daniel has 4/3 hamburgers to share, so he should get 4/3 x $1.80 = $2.40.

Eunice has 1/3 hamburgers to share, so she should get 1/3 x $1.80 = $0.60.

Therefore, Daniel should get $2.40 and Eunice should get $0.60.

Answer 2

The amount that Daniel and Eunice should each receive from Cecilia's payment is:

• Daniel = $5.40
• Eunice = $3.60

Explanation:

Given Cecilia, Daniel and Eunice shared 5 hamburgers equally:

• Each person ate 1/3 of the total amount of burgers.

If Cecilia paid Daniel and Eunice a total of $9 for her share, then

• The cost of 1/3 of the burgers is $9.

Given a total of 5 hamburgers were bought and 3 burgers were bought by Daniel while the other 2 burgers were bought by Eunice:

• Daniel paid for 3/5 of the burgers.
• Eunice paid for 2/5 of the burgers.

To calculate how much Daniel and Eunice should each receive from Cecilia's payment, simply multiply the total amount Cecelia paid by the fraction of burgers each person bought.

Daniel:

`\implies 9 * (3)/(5)=(27)/(5)=5.4`

Eunice:

`\implies 9 * (2)/(5)=(18)/(5)=3.6`

Therefore, the amount that Daniel and Eunice should each receive from Cecilia's payment is:

• Daniel = $5.40
• Eunice = $3.60