Susan uses 15 rolls of ribbon to decorate 10 wedding baskets. Each roll of ribbon is
[tex]5 \frac{3}{8} [/tex]
yards long. After she decorates the baskets, she decides to cut off another
[tex] \frac{3}{4} [/tex]
yard from the ribbons of each basket. Write and simplify an expression to find out how much ribbon was used on the baskets.

Respuesta :

Answer:

Amount of ribbon used = [tex]73 \frac{1}{8} yards[/tex] = 73.125 yards.

Explanation:

 Number of ribbon rolls = 15

 Number of wedding basket = 10

 Length of 1 ribbon roll = [tex]5\frac{3}{8}=\frac{5*8+3}{8} =\frac{43}{8}[/tex] yards.

Total length of 15 ribbon roll = [tex]15*\frac{43}{8} =\frac{645}{8}[/tex]yards.

Length of ribbon cutting from each basket = [tex]\frac{3}{4}[/tex]yards.

Total length of ribbon cutting from 10 baskets = [tex]10*\frac{3}{4}=\frac{15}{2}[/tex] yards

Amount of ribbon used

                  [tex]=\frac{645}{8}-\frac{15}{2}=\frac{645}{8}-\frac{15*4}{2*4}=\frac{645}{8}-\frac{60}{8}\\ \\ =\frac{585}{8} =73 \frac{1}{8} yards[/tex]

Amount of ribbon used = [tex]73 \frac{1}{8} yards[/tex] = 73.125 yards.