Math / Algebra

QuestionLamar and his sister take turns mowing the lawn. Because he is older, Lamar has to mow 5 times for every 4 times his sister mows.
Pick the diagram that models the ratio in the story.
Lamar mowed the lawn 3 more times than his sister last summer. How many times did Lamar mow last summer? $\square$ times
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Studdy Solution

STEP 1

What is this asking? We need to figure out how many times Lamar mowed the lawn last summer, knowing he mows 5 times for every 4 times his sister mows, and that he mowed 3 more times than her. Watch out! Don't mix up Lamar's mowing turns with his sister's!
Keep track of who mows how many times.

STEP 2

1. Visualize the Ratio
2. Find the Difference
3. Calculate Total Mows

STEP 3

Let's imagine the mowing turns visually!
For every 5 times Lamar mows, his sister mows 4 times.
We can think of this as groups of mows.
In each group, Lamar mows $\text{5}$ times, and his sister mows $\text{4}$ times.

STEP 4

Within each group of mowing turns, how many more times does Lamar mow than his sister?
Well, that's $5 - 4 = 1$ time.
So, in each group, Lamar mows $\textbf{1}$ more time than his sister.

STEP 5

We know Lamar mowed $\textbf{3}$ more times than his sister last summer.
Since each group of turns has Lamar mowing $\textbf{1}$ time more than his sister, and he mowed a total of $\textbf{3}$ times more, there must have been $\frac{3}{1} = 3$ groups of mowing turns.

STEP 6

Now, since there are $\textbf{3}$ groups, and Lamar mows $\textbf{5}$ times in each group, he mowed a total of $3 \cdot 5 = 15$ times last summer.
Awesome!

STEP 7

Lamar mowed the lawn $\textbf{15}$ times last summer.

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Studdy Solution

STEP 1

What is this asking? We need to figure out how many times Lamar mowed the lawn last summer, knowing he mows 5 times for every 4 times his sister mows, and that he mowed 3 more times than her. Watch out! Don't mix up Lamar's mowing turns with his sister's!
Keep track of who mows how many times.

STEP 2

1. Visualize the Ratio
2. Find the Difference
3. Calculate Total Mows

STEP 3

Let's imagine the mowing turns visually!
For every 5 times Lamar mows, his sister mows 4 times.
We can think of this as groups of mows.
In each group, Lamar mows $\text{5}$ times, and his sister mows $\text{4}$ times.

STEP 4

Within each group of mowing turns, how many more times does Lamar mow than his sister?
Well, that's $5 - 4 = 1$ time.
So, in each group, Lamar mows $\textbf{1}$ more time than his sister.

STEP 5

We know Lamar mowed $\textbf{3}$ more times than his sister last summer.
Since each group of turns has Lamar mowing $\textbf{1}$ time more than his sister, and he mowed a total of $\textbf{3}$ times more, there must have been $\frac{3}{1} = 3$ groups of mowing turns.

STEP 6

Now, since there are $\textbf{3}$ groups, and Lamar mows $\textbf{5}$ times in each group, he mowed a total of $3 \cdot 5 = 15$ times last summer.
Awesome!

STEP 7

Lamar mowed the lawn $\textbf{15}$ times last summer.

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Studdy Solution

STEP 1

What is this asking? We need to figure out how many times Lamar mowed the lawn last summer, knowing he mows 5 times for every 4 times his sister mows, and that he mowed 3 more times than her. Watch out! Don't mix up Lamar's mowing turns with his sister's!Keep track of who mows how many times.

STEP 2

1. Visualize the Ratio2. Find the Difference3. Calculate Total Mows

STEP 3

Let's imagine the mowing turns visually!For every 5 times Lamar mows, his sister mows 4 times.We can think of this as groups of mows.In each group, Lamar mows 5\text{5}5 times, and his sister mows 4\text{4}4 times.

STEP 4

Within each group of mowing turns, how many more times does Lamar mow than his sister?Well, that's 5−4=15 - 4 = 15−4=1 time.So, in each group, Lamar mows 1\textbf{1}1 more time than his sister.

STEP 5

We know Lamar mowed 3\textbf{3}3 more times than his sister last summer.Since each group of turns has Lamar mowing 1\textbf{1}1 time more than his sister, and he mowed a total of 3\textbf{3}3 times more, there must have been 31=3\frac{3}{1} = 313​=3 groups of mowing turns.

STEP 6

Now, since there are 3\textbf{3}3 groups, and Lamar mows 5\textbf{5}5 times in each group, he mowed a total of 3⋅5=153 \cdot 5 = 153⋅5=15 times last summer.Awesome!

STEP 7

Lamar mowed the lawn 15\textbf{15}15 times last summer.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? We need to figure out how many times Lamar mowed the lawn last summer, knowing he mows 5 times for every 4 times his sister mows, and that he mowed 3 more times than her. Watch out! Don't mix up Lamar's mowing turns with his sister's!
Keep track of who mows how many times.

1. Visualize the Ratio
2. Find the Difference
3. Calculate Total Mows

Let's imagine the mowing turns visually!
For every 5 times Lamar mows, his sister mows 4 times.
We can think of this as groups of mows.
In each group, Lamar mows $\text{5}$ times, and his sister mows $\text{4}$ times.

Within each group of mowing turns, how many more times does Lamar mow than his sister?
Well, that's $5 - 4 = 1$ time.
So, in each group, Lamar mows $\textbf{1}$ more time than his sister.

We know Lamar mowed $\textbf{3}$ more times than his sister last summer.
Since each group of turns has Lamar mowing $\textbf{1}$ time more than his sister, and he mowed a total of $\textbf{3}$ times more, there must have been $\frac{3}{1} = 3$ groups of mowing turns.

Now, since there are $\textbf{3}$ groups, and Lamar mows $\textbf{5}$ times in each group, he mowed a total of $3 \cdot 5 = 15$ times last summer.
Awesome!

Lamar mowed the lawn $\textbf{15}$ times last summer.