Operations & Word Problems

Problem

Set up one-unknown equation for capacities

64 fl oz of cooking oil is split between two bottles whose capacities differ by 8 fl oz, and both are filled to the top. Find how many fluid ounces are in the smaller bottle.
Measurement & dataOperations
Your answer
How to solve
Strategy Work Backwards — If we set aside the extra 8 fl oz of the bigger bottle, the two bottles would be equal. Remove that 8 fl oz from the total, split what is left in half, and that half is the smaller bottle.
1STEP 1

Remove the extra amount so the bottles match

The larger bottle has 8 fl oz more than the smaller. Take those 8 fl oz away from the total of 64 fl oz, leaving 64 - 8 = 56 fl oz to share as two equal smaller bottles.

64 - 8 = 56 fl oz
2STEP 2

Split the equal part in half

The 56 fl oz now stands for two equal smaller bottles, so each smaller bottle holds 56 divided by 2 = 28 fl oz.

56 ÷ 2 = 28 fl oz
Answer
28 fl oz
56 ÷ 2 = 28 fl oz
Smaller bottle 28 fl oz and larger bottle 28 + 8 = 36 fl oz add to 28 + 36 = 64 fl oz, and they differ by 8 fl oz, so 28 fl oz checks out.
Takeaway

This only needs Grade 3 sense: take away the extra, then split the rest in half!

  • Remove the extra amount so the bottles match
  • Split the equal part in half
Where next?
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