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Reese needs blue ribbon and gold ribbon to decorate a wreath. She needs 1/4 yard of blue ribbon for every 5/8 yard of gold ribbon. How much blue ribbon will she need for every yard of gold ribbon she uses? ? 5 O A. 9 20 yard O B. yard O C. C. yard O D. 25 yards

Respuesta :

We know that

• Reese needs 1/4 yards of blue ribbon for every 5/8 yards of gold ribbon.

To know the total blue ribbon she would need for each yard of gold ribbon, we use the following proportion.

[tex]\frac{\frac{1}{4}}{x}=\frac{\frac{5}{8}}{1}[/tex]

Then, we solve for x.

[tex]\begin{gathered} \frac{1}{4x}=\frac{5}{8} \\ \frac{8}{5}=4x \\ x=\frac{8}{5\cdot4} \\ x=\frac{2}{5} \end{gathered}[/tex]

Hence, Reese would need 2/5 yards of blue ribbon for every yard of gold ribbon.

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