Answer: 600 bushels of 10% alcohol content and 400 bushels of 15% alcohol content.
Step-by-step explanation:
Let we add x quantity of 10% of alcohol content and y quantity of 15% alcohol content for making 12% of alcohol content mixture.
Then according to the question, 10% of x + 15 % of y = 12% of 1000
⇒ 0.1x + 0.15y = 120
⇒ 10x + 15y = 1200
⇒ 2x +3y = 2400 -------- (1)
And, x + y = 1000
⇒ 2x + 2y = 2000 ---------(2)
Equation 1) - equation 2)
We get y = 400
By putting the value of y in equation 1),
⇒2x + 1200 = 2400
⇒ 2x = 1200
⇒ x = 600
Thus, he needs to mix 600 bushel of 10% of alcohol content with 400 bushels of 12% of alcohol content for getting 1000 bushels of 12% of alcohol content.
Answer: 1000 hot dogs and and 1600 sodas were sold.
Step-by-step explanation:
Let x be the number of hot dogs and y be the number of sodas.
Given : The concession stand at an ice hockey rink had receipts of $6200 from selling a total of 2600 sodas and hot dogs.
Each soda sold for $2 and each hot dog sold for $3 .
Then, we have the following system of two linear equations:-
Multiplying 2 on both sides of (1), we get
Now, Eliminate equation (3) from equation (2), we get
Put x=1000 in (1), we get
Hence, 1000 hot dogs and and 1600 sodas were sold.
The answer is 1 1/2. To find it you first add 9/12 and 5/12 which equals 14/12 then you make it a mixed fraction which is 1 2/12 which can simplify to 1 1/6. Next you make the denominator of 2/3 and 1/6 equal, so you multiply 2/3 by 2 and you get 4/6 so you now have 2 4/6 and 1 1/6, now you subtract them both which is 1 3/6 which simplified is 1 1/2
I Belive That There Can't Be 3 Numbers In A Rectangle Because At The Top You Get 24 And 6 And I Think It Is BxH One Half Times Base Times Height So 2xBxH .
P=63+63(3/100)
p=63(1+3/100)
p=63(1.03)
p=$64.89
