Meg laid 15 tiles in 50 minutes.

Jessica worked for 85 minutes at a faster rate per tile than Meg.

Choose all the rates that could be Jessica’s rate.


A: 20 tiles in 85 minutes



B: 24 tiles in 85 minutes



C: 28 tiles in 85 minutes



D: 1 tile in 3 minutes



E: 1 tile in 4 minutes

Respuesta :

Answer:

I think C and E

Step-by-step explanation:

meg played at lace of 3.3333 tiles a minute so has to be over 25 tiles

The correct options are C and D.

Important information:

  • Meg laid 15 tiles in 50 minutes.
  • Jessica worked for 85 minutes at a faster rate per tile than Meg.

Rates:

The rate per tile of Meg is:

[tex]\text{Rate}=\dfrac{\text{Time}}{\text{No. of tiles}}[/tex]

[tex]\text{Rate}=\dfrac{50}{15}[/tex]

[tex]\text{Rate}=3.333...[/tex]

Calculate the rates per tile for each option.

[tex]\frac{85}{20}=4.25[/tex]

[tex]\frac{85}{24}=3.54167...[/tex]

[tex]\frac{85}{28}=3.0357...[/tex]

[tex]\frac{3}{1}=3[/tex]

[tex]\frac{4}{1}=4[/tex]

From the above calculation is clear that the time spent per tile is less than Meg's rate in options C and D.

Therefore, the correct options are C and D.

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