A contractor mixes concrete from bags of premix for small jobs. how many bags with 5% cement should he mix with 4 bags of 13.5% cement to produce a mix containing 7% cement
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Imagine all bags weigh 100 lb.
That means a 13.5% bag has 13.5 lb of cement.
Then similarly a 5% bag has 5 lb of cement,
and a 7% bag has 7 lb of cement.
You are using 4 bags of 13.5%. That means 4 * 13.5 lb of cement.
Now you need to add x number of 5% bags.
x bags of 5% cement will have 5x lb of cement.
Ok so far?
nikato i did like that but i had the 4 where x is and x where the 4 is. so i have (4 + x) is that still ok?
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The x bags of 5% have 5x lb of cement.
The 4 bags of 13.5% cement have 4 * 13.5 = 54 lb of cement.
You have 5x + 54 lb of cement.
The number of bags used is x + 4.
If you have x + 4 bags with 7% cement, you have
7 * (x + 4) lb of cement
Now set the two quantities above equal and solve for x.
5x + 13.5*4 = 7 * (x + 4)
thank you for gong in depth and explaining every bit mathstudent that really helps :)
@Bweezy5 its fine. 4+x and x+4 are the same because of the cumulative property
ok thank you very much
commutative property of addition
a + b = b + a
x + 4 = 4 + x