littlemissavarpg littlemissavarpg
  • 01-03-2020
  • Mathematics
contestada

In August, Nancy's Clothing Store sold 266 shirts with the ratio of short sleeve to long sleeve being 4:10. How many short sleeve shirts were sold?

Respuesta :

calculista
calculista calculista
  • 08-03-2020

Answer:

The number of short sleeve sold was 76

Step-by-step explanation:

Let

x ----> the number of short sleeve sold

y ----> the number of long sleeve sold

we know that

[tex]\frac{x}{y}=\frac{4}{10}[/tex]

[tex]x=\frac{4}{10}y[/tex] -----> equation A

[tex]x+y=266[/tex] -----> equation B

substitute equation A in equation B

[tex]\frac{4}{10}y+y=266[/tex]

solve for y

[tex]\frac{14}{10}y=266\\\\y=266(10)/14\\y=190[/tex]

Find the value of x

[tex]x=\frac{4}{10}(190)=76[/tex]

therefore

The number of short sleeve sold was 76

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