Q:

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

Hope this helps! :)