Question

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Answer 1

It took Riley 2 days of vacation to buy 4 souvenirs, thus it will take Riley;

$1\text{ day to buy }\frac{4}{2}\text{ souvenirs = 2 souvenirs}$

To get the number of days it will take Riley to get 10 souvenirs, we will assume the number of days to be 'X'. Thus, we have the relation:

$\begin{gathered} 1\text{ day of vacation = 2 souvenirs} \\ X\text{ days of vacation = 10 souvenirs} \\ We\text{ cross-multiply and solve for 'X', thus we have;} \\ X=\frac{10}{2}\text{ days} \\ X=5\text{ days} \end{gathered}$

Hence, the number of days Riley will have to spend on vacation before she can buy a total of 10 souvenirs is 5 days.