35% of the revenue produced at the auction will go to charity. The morning participants spent an average of $50 each. The afternoon attendees spent an average of $75 each. Write an algebraic expression. Use m for morning participants and a for afternoon participants.
Accepted Solution
A:
Let m be the number of participants in the morning. Let a be the number of participants in the afternoon.
The amount spent in the morning: $50 Γ m = $50m
The amount spent in the afternoon: $75 Γ a = $75a
Total revenue produce at auction: = Total spending in morning and afternoon = $50m + $75a
Amount going to charity: = Total spending Γ 35% = Total spending Γ 0.35 {Remember to put brackets around Total spending since ($50m + $75a) is one group in this calculation} = ($50m + $75a) Γ 0.35 = ($50m Γ 0.35) + ($75a Γ 0.35) = $17.5m + $26.25a