The model below represents an equation.
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Ok so first 2.4 will have to be changed to 24 which means we multiplied it by ten making it 24/10 since it is tan it is opposite side/ adjacent side so your one of your legs will be 24 and one will be 10. Now we just plug that into the Pythagorean Theorem to find the hypotenuse and we get 26. The area is 24b10/2=120 the area is 120.
Leg a= 24
Leg b= 10
Hypotenuse=26
Area=120
Ignore my awful handwriting but this is what it looks like labeled. I made each unit=2 just so it wouldn't be as large but I hope this helps you :)
First off... let's use the decimal format for the percentages, so 85% is 85/100 or 0.85 and 45% is 45/100 or 0.45 and so on
let's say the quantities of each are "a" and "b" respectively
how much salt concentration in A? well, 0.45, so for a quantity "a", that'd be 0.45a
how much satl concentration in B? well 0.85, so for a quantity "b", that'd be 0.85b
now, she wants a mixture of 160ounces with 70% concentration, or 0.7
so the mixture will have a concentration amount of salt of 160 * 0.7
solve for "a", to see how much of the 45% solution will be needed.
what about "b"? well, b = 160 - a
let's say the quantities of each are "a" and "b" respectively
how much salt concentration in A? well, 0.45, so for a quantity "a", that'd be 0.45a
how much satl concentration in B? well 0.85, so for a quantity "b", that'd be 0.85b
now, she wants a mixture of 160ounces with 70% concentration, or 0.7
so the mixture will have a concentration amount of salt of 160 * 0.7
solve for "a", to see how much of the 45% solution will be needed.
what about "b"? well, b = 160 - a