Answer:
[tex] \displaystyle23.125 \: \text{pounds}[/tex]
Step-by-step explanation:
we are given that,
- the weight of a smaller bicycle is 18.5 pounds
- the weight of a larger bicycle is 1¼ times as much as the smaller bicycle
in order to figure out the weight of the larger bicycle we can consider using equation
let the weight of the larger bicycle be L
according to the second condition
we acquire
[tex] \displaystyle L = 18.5 \times 1\frac{1}{4} [/tex]
to simplify the mixed fraction to improper fraction we can use the formula given by
[tex] \displaystyle \rm c\frac{a}{b} \xrightarrow{ \text{improper fraction}} \frac{b \times c + a}{b} [/tex]
by using the formula we get
[tex] \displaystyle L = 18.5 \times \frac{5}{4} [/tex]
simplify multiplication:
[tex] \displaystyle L =\frac{92.5}{4} [/tex]
simplify division:
[tex] \displaystyle L =23.125[/tex]
hence,
the larger bicycle weighs 23.125 pounds
