- A farmer has a pay scheme to keep fruit pickers working throughout the 30 day season. He pays \(\pounds a\) for their first day, \(\pounds ( a + d )\) for their second day, \(\pounds ( a + 2 d )\) for their third day, and so on, thus increasing the daily payment by \(\pounds d\) for each extra day they work.
A picker who works for all 30 days will earn \(\pounds 40.75\) on the final day.
- Use this information to form an equation in \(a\) and \(d\).
A picker who works for all 30 days will earn a total of \(\pounds 1005\)
- Show that \(15 ( a + 40.75 ) = 1005\)
- Hence find the value of \(a\) and the value of \(d\).