Depth · one concept from first principles · step 2 of 4
A fish weighs , and of it cannot be eaten. The circle graph at the right shows what the edible part is made of. How many grams of protein does eating one fish provide?
If 45% cannot be eaten, then 55% can, and that share is taken from the whole fish.
88 g of the fish can be eaten.
6.RP.A.3Change Focus Count The ComplementThe edible part weighs .
The fish is the edible part together with the part that cannot be eaten, and nothing else, so the two shares add to the whole fish.
A percent counts hundredths of the whole, so of the fish's hundred equal pieces are edible.
The four nutrients fill the circle, so their percentages add to 100.
Protein is 25% of the edible part.
6.SP.B.4Analyze The UnitsThe graph describes the edible part, so take a quarter of 88 g -- not of the whole fish.
Eating one fish gives 22 g of protein.
6.RP.A.3Organize Information In More WaysTwo percentages in a row can have different wholes -- check what each one is measured against.
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The same shape shows up later on the AMC, as Arithmetic Expression Decomposition, Coordinate Plane Figure Computation. Why the shapes repeat →