Jasmine started running in March and kept track of how many miles she ran each month. In April, she ran 7 more miles than in March. In May, she increased the number of miles she ran in April by 50% and ran 78 miles.

Question

We'll use m to represent the number of miles Jasmine ran in March. Choose the tape diagram that represents the distance Jasmine ran in April.

m
March

April
7
m

m
March

April
7
m
Excellent!
Choose the tape diagram that represents the distance Jasmine ran in May.

m
March

April
7
m

May
78

m
March

April
7
m

May
78
You got it!
Write an equation in words to represent this situation.
m
March

April
7
m

May
78

50% of April's distance = May's distance

20% of April's distance = May's distance

120% of April's distance = May's distance

150% of April's distance = May's distance
Great job!
Write an equation to represent this situation.
m
March

April
7
m

May
78
150% of April's distance = May's distance
Excellent!
Solve the equation to find the value of m. You can show your work on Zearn or on paper, then enter your answer on Zearn.
1.5(m+7)
=
78

m
=
Nice!
What does m=45 represent in this situation?

Jasmine ran 45 miles in April.

Jasmine ran 45 miles in March.

Jasmine ran 45 miles total.

Answer 1

In this situation, \( m = 45 \) represents the number of miles Jasmine ran in March.

To clarify the calculation:

1. Since Jasmine ran \( m \) miles in March, she ran \( m + 7 \) miles in April.
2. Knowing \( m = 45 \), we can calculate her April distance: \( 45 + 7 = 52 \) miles.
3. In May, she ran 50% more than her April distance, which equals \( 1.5 \times 52 = 78 \) miles.

Thus, the answer is: Jasmine ran 45 miles in March.