SOLUTION: Two bottles have capacities in the ratio 4 to 7. The smaller bottle holds 6 ounces more than half of the larger bottle. How many ounces will the smaller bottle hold? Please help!

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Question 332086: Two bottles have capacities in the ratio 4 to 7. The smaller bottle holds 6 ounces more than half of the larger bottle. How many ounces will the smaller bottle hold?
Please help! Thanks!

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
Let s=capacity of smaller bottle and b=bigger bottle capacity.
s=b/2 + 6
7s=4b
7(b/2 + 6)=4b Substitute for s.
7b/2 + 42 = 4b
7b+84=8b
b=84 oz.
s=48 oz Answer.
.
Ed

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