Using the second equation, let’s find x
x + 7y = 8
x = 8 - 7y
Substitute x in the other equation
3/8(8 - 7y) + 1/3y = 17/24
3 - 21/8y + 1/3y = 17/24
-55/24y = -55/24
y = 1
Plug in y in any equation
x + 7(1) = 8
x + 7 = 8
x = 1
x = 1 and y = 1
There are 10 cards and you are looking to find the probability of choosing 1 of 6 cards. so essentially 6/10 or 3/5 which are both equivalent to 60%
The center of the circle is (5,3)
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Answer:
600 L of 30% proof and 400 L of 80% proof is needed
Step-by-step explanation:
Let the amount of 30% smell proof be x while that of 80% smell proof is y
Then;
x + y = 1000 •••••(i)
Also;
30% of x + 80% of y = 50% of 1000
0.3x + 0.8y = 500 •••••(ii)
From i, x = 1000 - y
Put this into ii
0.3(1000-y) + 0.8y = 500
300 - 0.3y + 0.8y = 500
0.5y = 500-300
0.5y = 200
y = 200/0.5
y = 400 L
But x = 1000 - y
x = 1000 - 400 = 600 L
