Proportions in Triangles (2)
1 answer:
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Let be the two numbers. We have two pieces of information:
(the difference between the two numbers is 2)
(their product is 224)
From the first equation, we can deduce
If we plug this expression in the second equation, we have
If you solve this equation with the usual quadratic formula you get the solutions
So, you have the following couple of solutions, recalling that x is 2 more than y:
The equation is 0.1x + 0.15(50-x)=1.20(50)
Step-by-step explanation:
Here you need 50ml of 12% alcohol solution.
You have 10% and 15% alcohol solutions.
Take volume of 10% alcohol solution to be x ml
Take volume of 15% alcohol solution to be y ml
Form equations;
x+y=50 ml--------------------------equation 1
0.1x +0.15 y= 12% of 50
0.1x+0.15y=6-----------------------equation 2
Now you have simultaneous equations, use a graph tool to solve for values of x and y as attached.
or use the mixture equation the get value of x
0.1x + 0.15(50-x)=1.20(50)
The values of x and y are ;
(x,y) (30,20) which means;
y is 20 ml of 15% alcohol
x is 30 ml of 10% alcohol
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Keywords : concentration, mixture
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