Ribbon purchase

To decorate for the party, they needed 3 red ribbons, each 1/4 meter long, 5 white ribbons, each 5/8 meter long, and 4 blue ribbons, each 2/5 meter long. How many meters of ribbon did they buy altogether? (express as a decimal number) How much did they pay for them if one meter costs 1.50 euros?

Final Answer:

x =  5.475 m
c =  8.2125 Eur

Step-by-step explanation:

$x=3\cdot \frac{1}{4}+5\cdot \frac{5}{8}+4\cdot \frac{2}{5}=\frac{219}{40}\text{m}=5.475\text{m}$

$c=1.50\cdot x=1.50\cdot \frac{219}{40}=\frac{657}{80}\text{Eur}=8.2125\text{Eur}$

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