One bottle of juice is 1/4 filled. Another smaller bottle holds 20 fluid ounces. if the contents from the larger bottle are poured into the smaller bottle, the bottle is 7/8 filled. how many fluid ounces does the larger bottle holds
7/8(20) = 17.5
1/4x = 17.5
Solve for x.
To find the amount of fluid ounces the larger bottle holds, we can set up a proportion using the given information.
Let's assume that the capacity of the larger bottle is "x" fluid ounces.
According to the information provided, when the larger bottle is poured into the small bottle, the small bottle becomes 7/8 full. This means that 7/8 of the total capacity of the small bottle (20 fluid ounces) is equal to the contents of the larger bottle.
Setting up the proportion:
(7/8) * 20 = (1/4) * x
To solve for x, we can cross multiply:
(7/8) * 20 = (1/4) * x
140/8 = x/4
Now, let's simplify:
140/8 = x/4
35 = x/4
To isolate x, we can multiply both sides of the equation by 4:
35 * 4 = x
140 = x
Therefore, the larger bottle holds 140 fluid ounces.