Skill: Solve purchase problems

Explanation and Free Practice Resources

Purchase problems involve interpreting prices and amounts of money, combining the costs of one or more items, determining whether an amount is sufficient, and finding the change or difference through addition and subtraction. The reasoning connects coin and bill values with dollar-and-cent notation, including equivalent ways to represent an amount and the need to keep dollars and cents aligned; tax, tip, discounts, percentages, and more advanced decimal or multiplication-based money problems are not included.

Detailed Explanation: Solve purchase problems

To solve a purchase problem:

  1. Find the cost of each item.
  2. Add the costs to find the total.
  3. Compare the total with the amount paid.
  4. Subtract to find the change.

Example: Mia buys a notebook for 2.35andapencilforand a pencil for$0.65.Shepayswith. She pays with $5.00$. How much change does she get?

Step 1: Add the prices.
Keep the dollars and cents lined up:

$2.35+$0.65$3.00\begin{array}{r} \$2.35\\ +\$0.65\\ \hline \$3.00 \end{array}

The total cost is 3.00$.

Step 2: Check if Mia has enough money.
She has 5.00,whichismorethan, which is more than $3.00$, so she has enough.

Step 3: Subtract the cost from the amount paid.

$5.00−$3.00$2.00\begin{array}{r} \$5.00\\ -\$3.00\\ \hline \$2.00 \end{array}

Mia gets 2.00$ in change.

Learn by doing: Solve purchase problems

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Coin Math - Subtract from a Dollar and Change - Coins Minus Amount (Piles)


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