Simplest method: elimination.
Subtract the first equation from the second one.
(2a+b=-33)-(a+b=-10) gets you to a=-23.
Now plug that in for a and solve.
-23 +b=-10
b=13
¹¹/48 of the full cup
Step-by-step explanation:
We add the two fraction first to determine the total ratio
¹/4 + ²/3 = ¹¹/12
She uses ¼ cup grape juice for ¹¹/12 cup full of diluted grape juice
Therefore;
¼ : ¹¹/12
How How much grape juice does Sarah use for each full cup of water, i.e ¹²/12
? (x) : ¹²/12
We cross multiply the ratios;
¹²/12 * ¼ = ¹¹/12 * x
³/12 = ¹¹/12 x
³/12 * ¹²/11 = x
¹¹/48 = x
Obviously, 0.8, all you do is move over the decimal.
The answer should be 78. 57%