Question

Erica has \[\$30.00\] saved and receives an allowance of \[\$10.00\] each week. Her older brother, Paolo, has \[\$20.00\] saved and receives an allowance of \[\$15.00\] each week. If Erica and Paolo save all their allowance money, which of the following equations gives the number of weeks, \[w\], that it will take for the siblings to have the same amount of money? Choose 1 answer: Choose 1 answer: (Choice A) \[30.00 10.00w=20.00 15.00w\] A \[30.00 10.00w=20.00 15.00w\] (Choice B) \[30.00w 10.00=20.00w 15.00\] B \[30.00w 10.00=20.00w 15.00\] (Choice C) \[10.00(30.00 w)=15.00(20.00 w)\] C \[10.00(30.00 w)=15.00(20.00 w)\] (Choice D) \[10.00w 15.00w=30.00 20.00\] D \[10.00w 15.00w=30.00 20.00\]

Answer 1

The correct equation for determining the number of weeks when Erica and Paolo will have the same amount of money is 30 + 10w = 20 + 15w.

Step-by-step explanation:

The question asks us to determine the number of weeks, w, it will take for Erica and Paolo to have the same amount of money, given Erica has $30.00 saved with a weekly allowance of $10.00, and Paolo has $20.00 saved with a weekly allowance of $15.00. The correct equation to model this situation is 30 + 10w = 20 + 15w, which represents the initial savings of each sibling plus their respective weekly allowance multiplied by the number of weeks. To have the same amount of money, their total savings will be equal after w weeks.