Q:

Hailey and Kacie are selling candles to raise money. • Hailey is selling candles for $4 each and has already raised $160. • Kacie is selling candles for $7 each and has already raised $70. Which equation can be used to find c, the number of candles each girl needs to sell so that the total amount raised is the same for both Hailey and Kacie?

Accepted Solution

A:
Answer:The number of candles each girl needs to sell so that the total amount raised is the same for both isHailey 70 candlesKacie  40 candlesStep-by-step explanation:Letx------> the number of candles soldy----> total amount raised           we know thatHailey's equation[tex]y=4x+160[/tex] -----> equation APlease note that Hailey has already raised $160, so he has sold 40 candles.Kacie's equation[tex]y=7x+70[/tex] -----> equation BPlease note that Kacie has already raised $70, so he has sold 10 candles.equate equation A and equation B solve for x[tex]4x+160=7x+70[/tex] [tex]7x-4x=160-70[/tex] [tex]3x=90[/tex] [tex]x=30\ candles [/tex] The number of candles each girl needs to sell so that the total amount raised is the same for both isHailey   40+30=70 candlesKacie   10+30=40 candles