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Ella takes hours to complete a painting. Holly takes of the time that Ella takes. How long will Holly take to complete 5 paintings

Sagot :

Answer:

6 hours

Step-by-step explanation:

Ella takes 1 3/5 hours to complete a painting. Holly takes 3/4 of the time that Ella takes. How long will Holly take to complete 5 paintings?

Ella =1 3/5 hours = 8/5 hours

Holly = 3/4 of 8/5 hours

= 3/4 × 8/5

= (3*8)/(4*5)

= 24/20

= 6/5 hours

Number of hours : number of painting = 6/5 hours : 1 painting

How long will Holly take to complete 5 paintings

Let x = number of hours

Number of hours : number of painting = x hours : 5 painting

6/5 hours : 1 painting = x hours : 5 painting

6/5 ÷ 1 = x ÷ 5

6/5 × 1/1 = x / 5

6/5 = x / 5

Cross product

6 * 5 = 5 * x

30 = 5x

x = 30/5

x = 6 hours

It will take Holly 6 hours to complete 5 paintings

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