Operations & Word Problems

Problem

Find the per-unit-weight rate first

Mia's mom buys 1 lb of cherry tomatoes priced at $4 for every 8 oz, and 1 lb 8 oz of pork priced at $9 per pound. Find how much she spends in all on the tomatoes and the pork.
OperationsMeasurement & data
Your answer
dollars
How to solve
Strategy Analyze the Units — This is a money/rate problem, so tracking the units ( per ounce, per pound) keeps the setup correct. It splits naturally into two subproblems (tomato cost, pork cost) that are added at the end.
1STEP 1

Cost of the cherry tomatoes

1 lb is 16 oz, so it holds 16 / 8 = 2 portions of 8 oz. At $4 each, the tomatoes cost 2 × $4 = $8.

16 ÷ 8 = 2, 2 × $4 = $8
2STEP 2

Cost of the pork

1 lb 8 oz is 1 lb plus half a pound. At $9 per pound that's $9 + half of $9 = $9 + $4.50 = $13.50.

$9 + ½ × $9 = $9 + $4.50 = $13.50
3STEP 3

Add the two costs

Add the tomato cost and the pork cost: $8 + $13.50 = $21.50.

$8 + $13.50 = $21.50
Answer
21.50 dollars
$8 + $13.50 = $21.50
Tomatoes $8 and pork $13.50 are both sensible store prices, and $13.50 greater than $8 makes sense because pork is heavier (1.5 lb) and pricier per unit. The total $21.50 is between $20 and $25, a reasonable grocery sum.
Takeaway

Match the weight to the price's unit, find each cost, then add - that's just Grade 3 unit sense!

  • Cost of the cherry tomatoes
  • Cost of the pork
  • Add the two costs
Where next?
Another one like thissuggested

▶ Practice — 12 problems