Question

sariya collects donations for a dance marathon. one group of sponsors will donate a total of 6 dollars for each hour she dances. another group of sponsors will donate 75 dollars no matter how long she dances. what number if hours, should sariya dance is she wants to raise at least 1000. write an inequality and solve

Answer 1

Let the total number of hours be t.

Then the first group of sponsors will pay her 6t dollars

And the second group of sponsors will pay her 75 dollars

The total

is

6t + 75

Since the total should be at least 1000, then we have:

`\begin{gathered} 6t+75\ge1000 \\ \Rightarrow6t\ge1000-75=925 \\ \Rightarrow t\ge(925)/(6) \\ t\ge154(1)/(6)hours \\ t\ge154\text{hours 10minutes} \\ \end{gathered}`

So Sariya should dance for at least 155 hours