IXL | Solve one-step multiplication and division equations: word problems

Hannah is setting up an egg balancing game for Field Day. Players on each team must get all of the eggs from one end of their station to the other by balancing the eggs on their heads! For the game, Hannah sets up a bowl of 8 eggs at each team's station. In all, she needs 40 eggs.

Let

represent the number of teams competing in the game. Which equation models the problem?

Solve this equation to find how many teams are competing.

teams

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Learn with an example

question

Ian wanted to display some photos of his recent vacation to Surf City Beach. He used seashells he collected at the beach to decorate 7 picture frames. Ian used the same number of seashells to decorate each frame. He used 63 seashells in all.

Let

represent how many seashells Ian used to decorate each frame. Which equation models the problem?

Solve this equation to find how many seashells Ian used to decorate each frame.

seashells

key idea

If you multiply or divide by the same number on both sides of an equation, the two sides will still be equal.

solution

Start by listing the information given in the problem:

Ian decorated 7 picture frames.
Ian used
s
seashells to decorate each frame.
Ian used 63 seashells in all.

This equation models the problem.

7	⋅	s	=	63

number of frames		seashells for each frame		total number of seashells

The product

can also be written as

So, you can use the equation

to find how many seashells Ian used to decorate each frame.

Use inverse operations to solve for

Since this equation shows multiplying by

you should divide by 7 on both sides to solve.

Ian used 9 seashells to decorate each frame.

Looking for more? Try these:

Lesson: Solving equations

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Work it out

Not feeling ready yet? These can help:

AA.12Solve one-step multiplication and division equations with decimals and fractions

AA.16Write a one-step equation: word problems

Solve one-step addition and subtraction equations: word problems

Lesson: Solving equations

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