contestada

Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 233 baseball cards and collects 5 cards per week. After about how many weeks will Ryan and Sarah have the same number of cards?​

Respuesta :

MrRoyal

Answer:

About 17 weeks

Step-by-step explanation:

Given

Ryan:

[tex]Initial = 150[/tex]

[tex]Additional = 10[/tex] (weekly)

Sarah:

[tex]Initial = 233[/tex]

[tex]Additional = 5[/tex] (weekly)

Required

Determine the number of weeks they have the same cards

Represent the number of weeks with w:

For Both individuals, number of card at any given week is:

[tex]Initial + Additional * w[/tex]

So,

For Ryan, the expression is:

[tex]150 + 10 * w[/tex]

[tex]150 + 10w[/tex]

For Sarah, the expression is:

[tex]233 + 5 * w[/tex]

[tex]233 + 5 w[/tex]

To determine the number of weeks, we have to equate both equations:

[tex]150 + 10w= 233 + 5 w[/tex]

Collect Like Terms

[tex]10w - 5w = 233 - 150[/tex]

[tex]5w = 83[/tex]

Solve for w

[tex]w = 83/5[/tex]

[tex]w = 16.6[/tex]

16.6 implies about 17 weeks, because 16.6 approximates to 17

Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks

Otras preguntas