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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