Respuesta :
Answer:
15 gallons of maple syrup
35 gallons of corn syrup
Step-by-step explanation:
Firstly, I would like to make all our currency be in cents.
Let the number of maple syrup needed be m and the number of corn syrup be c.
Now, the mixture costs 236 cents per mixture. We interpret this using the cost of each syrup to make a mathematical expression as follows:
600m + 80c = 236( m + c) ........(i)
Now we need 50 gallons, meaning, the number of both syrups add up to 50.
m + c = 50 ..........(ii)
We now solve both equations simultaneously.
From (i), we can get 364m - 156c = 0
From (ii) we get c = 50 - m
If we insert this into that expression from (i) , we get
364m - 156(50 - m ) = 0
This yields, 520m = 7800
And m = 15
Since c = 50 - m,
Then c = 50 - 15 = 35
Answer:
118
Step-by-step explanation:
Let
a = gallons of $6 syrup
b = gallons of $ 80 syrup
then
equation 1
a + b = 50
equation 2
6a + .8b /50=2.36
6a + .8b = 2.36 * 50
6a + .8b = 118
multiply equation 3 with 10
60a + 8b = 1180
multiplay equation 1 with 8 and then subt 1 from 2
(2) 60 + 8b =1180
(1) - 8a-8b=-400
52a = 780
a=15
and
a+b =50
15 + b=50
b=35
15= gallons of $6 syrup
35=gallons of $.80
6a+.8b/50 = 2.36
6(15) + .8(35)/50 =2.36
90 + 28 /50 = 2.36
118/50 = 2.36
118 = 118
