Math Problem Statement

1 (a) Oranges cost $1.45 per kilogram. Asher buys 1.2 kg of oranges. Find the change he receives from $10.

Solution

To solve this problem, we need to calculate the total cost of the oranges Asher buys and then find the difference from the $10 he pays.

Step-by-Step Solution:

  1. Calculate the Total Cost of Oranges:

    • The cost per kilogram of oranges is $1.45.
    • Asher buys 1.2 kilograms of oranges.

    Total Cost=1.45dollars/kg×1.2kg=1.74dollars\text{Total Cost} = 1.45 \, \text{dollars/kg} \times 1.2 \, \text{kg} = 1.74 \, \text{dollars}

  2. Calculate the Change Asher Receives:

    • Asher pays $10.
    • We subtract the total cost of the oranges from this amount to find the change.

    Change=101.74=8.26dollars\text{Change} = 10 - 1.74 = 8.26 \, \text{dollars}

Final Answer:

Asher receives $8.26 in change.

Would you like further details or have any questions?


Here are 5 questions for further exploration:

  1. If the price per kilogram of oranges increased to $2.00, how much change would Asher receive?
  2. How many kilograms of oranges could Asher buy with exactly $10?
  3. If Asher had bought 2.5 kg of oranges, what would his change from $10 be?
  4. How much would it cost if Asher bought 3 kg of oranges at $1.45 per kg?
  5. If Asher only had $5, how much would he have been able to buy in kilograms?

Quick Tip:

When solving change problems, ensure that all prices are correctly calculated by multiplying the cost per unit by the quantity bought before subtracting from the total amount paid.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Basic Operations
Money Calculations

Formulas

Total Cost = Price per kg × Quantity
Change = Amount Paid - Total Cost

Theorems

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Suitable Grade Level

Grades 4-6