Maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. how many gallons of each kind of syrup are need to make 50 gallons of the mixture?

35.8 gallons will be corn syrup. 

35.8 gallons will be corn syrup. 

Let x represent the amount of gallons of syrup that maple syrup has
50-x represent the amount of gallons of syrup that corn syrup has
6x+0.8(50-x)=2.36(50)
6x+40-0.8x=118
5.2x+40=118
Subtract 40 to each side
5.2x+40-40=118-40
5.2x=78
Divided 5.2 to each side
5.2x/5.2=78/5.2
x=15 gallons
50-x
=50-15
=35 gallons. As a result, there are 15 gallons of maple syrup and 35 gallons of corn syrup to make 50 gallons of mixture. Hope it help!

Let x represent the amount of gallons of syrup that maple syrup has
50-x represent the amount of gallons of syrup that corn syrup has
6x+0.8(50-x)=2.36(50)
6x+40-0.8x=118
5.2x+40=118
Subtract 40 to each side
5.2x+40-40=118-40
5.2x=78
Divided 5.2 to each side
5.2x/5.2=78/5.2
x=15 gallons
50-x
=50-15
=35 gallons. As a result, there are 15 gallons of maple syrup and 35 gallons of corn syrup to make 50 gallons of mixture. Hope it help!