Two things at two prices, poured into one bag: what does the blend cost? These free printable word problems build the two-column reasoning that value and systems problems all share, with the numbers kept whole so the structure shows.
A mixture problem is a value problem wearing a different coat. Each ingredient contributes an amount and a worth, and the blend is the two worths added and the two amounts added — the same count-and-value split, now with a price on each part. A child who has met coins-and-notes recognizes the shape immediately.
Why this sheet works
The reasoning that has to be new is that the blended price is not the average of the two prices unless the amounts are equal. Three kilograms of cheap nuts with one of dear ones sits much closer to the cheap price, and seeing why — the cheap ones outweigh the dear ones in the total — is the idea the page is really after.
How this one works
One question from a sheet like this one, worked a step at a time — with a sentence saying what just happened and why.
