ok is this word problem right?

Question

Maple syrup worth 6 dollars corn syrup wortth. 80cents a gal. are used to make a mix worth 2.36 a gallon.How many gallons of each kind of syrup are need to make 50 gallons of the mixture

maple syrup is 45 gallons? corn syrup is ___gallons
i cant get the corn syrup.

The length of a rectange is 2 inches than 3 times the number of inches in its width.If the perimeter of the rectangle is 28 incehs what is the width and lenght of the rectangle

length is 12 width is 84?

is this right.help if not

Answer 1

Maple Syrup problem
EQUATION: (V*P)product = SUM(V*P)ingredients
Vproduct=50
Let Vms= x
Let Vcs= 50-x
P= Prices, all known
Then: 50*2.36= 6*x + .8*(50-x)
118 = 6x +40-.8 x
5.2 x = 78, so x= 15 (maple syrup)
50-x = 35 (corn syrup)
2. EQUATION" Perimeter= 2L + 2W
Let W= w
Let L = 3w -2 (I assume this is what the problem said; you skipped it)
So 28 = 2 w + 2 (3w-2)
w=4, l=10
BTW: If you got 12 and 84, you should have realized something was terribly wrong. That's why you should write down the equations before you start solving them.

Answer 2

let m be the number of gallons of Maple syrup
and let c be the number of gallons of corn syrup

m + c = 50
6m + .80c = 2.36(50)

m + c = 50
6m + .80c = 118

m = 50 - c

6(50 - c) + .80c = 118
300 - 6c + .80c = 118
-5.2c = -182
c = 35 gallons

m = 50 - 35
m = 15 gallons


i don't see how you get 45 gallons of maple syrup


let L be the length and w be the width
and assume you meant the length is 2 inch MORE than 3 times the width
L = 3w + 2

P = 2(L + w)

28 = 2(3w + 2 + w)
14 = 4w + 2
12 = 4w
w = 3

so the width is 3in and the length is 11in