Comparing with multiplication: money and distance | 4th grade | Khan Academy

TL;DR

Solving word problems involving money and distance using algebraic expressions.

Transcript

So we're told that Minli has $5.00 more than James. Minli has $33.00. How much does James have? So let's use some letters to represent the amount of money Minli has and the amount of money James has. So let's say that m represents the amount of money that Minli has. And j represents the amount that James has. So we're told that Minli has $5.00 more... Read More

Key Insights

• 🤑 Setting up algebraic expressions helps solve word problems involving money and distance.
• ❓ Equations can be used to represent relationships between different quantities in the problem.
• 🫥 Visualizing the problems using number lines can assist in understanding and solving for the unknown variables.

Questions & Answers

Q: How much money does James have?

James has $28.00. This is determined by setting up an equation using the given information that Minli has $5.00 more than James and that Minli has $33.00.

Q: How far is Paulette's house from school?

Paulette's house is 3 miles from school. This is calculated by setting up an equation using the given information that Jessica's house is 5 times further from school than Paulette's house and that Jessica's house is 15 miles from school.

Q: How are algebraic expressions used in these word problems?

Algebraic expressions are used to represent the amount of money each person has and the distances between the houses and the school. By setting up equations and solving for the unknowns, the solutions can be found.

Q: Why is it necessary to set up equations to solve these problems?

Setting up equations helps to represent the given information and find the unknown variables. By using algebraic expressions and manipulating them through equations, it becomes easier to determine the solutions.

Summary & Key Takeaways

• The first problem involves Minli having $5 more than James, with Minli having $33.00. By setting up equations, it is determined that James has $28.00.

• The second problem states that Jessica's house is 5 times further from school than Paulette's house. It is determined that Paulette's house is 3 miles from school, based on the given information that Jessica's house is 15 miles from school.