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barxatty [35]
3 years ago
8

Oil that costs 22.50/barrel is mixed with oil that costs 35.00/barrel. How many barrels of each oil should be included in 1250 b

arrels of mixture that sells for 27.50/barrel?
Mathematics
1 answer:
timama [110]3 years ago
4 0
So 22.5 per barrel



so 22.5
x represents the number of 22.5 barrels

y represents the number of 35 barrels

so
x+y=1250

then find the total cost
1250 barrels
27.5 per so mutiply by 1250 and get 34375 total cost

22.5x+35y=34375

we have 2 senctances
x+y=1250
22.5x+35y=34375

elimination
mulitply first equation by -35 to clear y
-35x-35y=-43750
add to second equation
-35x-35y=-43750
<u>22.5x+35y=34375    +</u>
-12.5x+0y=-9375
-12.5x=-9375
multiply -1
12.5x=9375
divie both sides by 12.5
x=750


subsitute
x+y=1250
750+y=1250
subtract 750
y=500


750 barrells of the 22.5 oil should be included and
500 barrells of the 35 oil should be included

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Answer:

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Step-by-step explanation:

Let us assume:

The carbs in  each glass of milk  = x

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So, the carbs in 3 glass of milk = 3 ( Carbs in 1 glass of milk )  = 3 x

and the carbs in 4 snack bars  = 4 ( Carbs in 1 snack bar)  = 4 y

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Solving the given system of equation:

3 x + 4 y = 89     ............(1)

4 x + 3 y = 93    ............. (2)

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