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.
1 answer:
Answer:
Step-by-step explanation:
<u>Given</u>
- x : y = 2 : 5, y is 80% of z
<u>Rearranging the ratios:</u>
- x/y = 2/5 ⇒ x/y = 0.4 ⇒ y = x/0.4 ⇒ y = 2.5x
- y is 80% of z ⇒ y = 0.8z
<u>Comparing the values of y:</u>
- 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
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