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BreBreDoeCCx
18.01.2020 •
Mathematics
Dennis want to fill 55-gallon drums with a 20% winter mixture of antifreeze for customers. dennis wants to mix 100% antifreeze with a 10% antifreeze mix to get the 20% mixture. how many gallons of 100% antifreeze and 10% antifreeze does he need in order to fill the drum?
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Ответ:
The number of gallons of 100% mixture to be added is 6.11 gallons and the 10% mixture to be added is 48.89 gallons.
Step-by-step explanation:
Let us assume that x gallons of 10% mixture and y gallons of 100% mixture are added to make 55 gallons of 20% mixture.
So, x + y = 55 ............. (1)
And![\frac{0.1x + y}{x + y} = 0.2](/tpl/images/0460/4597/b65fb.png)
⇒ 0.1x + y = 0.2x + 0.2y
⇒ 0.1x = 0.8y
⇒ x = 8y ........... (2)
So, from equation (1) we get, 8y + y = 55
⇒ 9y = 55
⇒ y = 6.11 gallons.
Therefore, the number of gallons of 100% mixture to be added is 6.11 gallons and a 10% mixture to be added is (55 - 6.11) = 48.89 gallons. (Answer)
Ответ:
If I think my brain will explode
Step-by-step explanation: