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The ratio x : y is equal to 2 : 5, and y is 80% of z. Write an equation to represent the proportional relationship between x and z.

User NRahman
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1 Answer

6 votes

Answer:

  • x : z = 8 : 25

Explanation:

Given

  • x : y = 2 : 5, y is 80% of z

Rearranging the ratios:

  • x/y = 2/5 ⇒ x/y = 0.4 ⇒ y = x/0.4 ⇒ y = 2.5x
  • y is 80% of z ⇒ y = 0.8z

Comparing the values of y:

  • 2.5x = 0.8z
  • x/z = 0.8/2.5
  • x/z = 0.32
  • x/z = 32/100
  • x/z = 8/25
  • x : z = 8 : 25
User Zufan
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