U1L7: Solving Equations in Context

What ratio would you set up for this question?​

The freshmen softball team scores 21 runs in their first 5 games.  If the current trend continues, how many runs will they score in 15 games?

​ (a)   /​ (b)  

• runs
• game
• first
• trend
• rate
• how many?

Answer explanation

Since runs was mentioned first in the list of variables your ratio would place runs first (in the numerator) and games last (in the denominator)

runs per game

Select the correct equation for this scenario

The freshmen softball team scores 21 runs in their first 5 games.  If the current trend continues, how many runs will they score in 15 games?

Answer explanation

Whatever units are in the numerator for your first ratio MUST be in the numerator for the 2nd ratio

Answer the question using the correct ratio

The freshmen softball team scores 21 runs in their first 5 games.  If the current trend continues, how many runs will they score in 15 games?

Mathematical Equivalence

ON

Answer explanation

Set up the equation correctly

then

cross multiply and solve

What ratio would you set up for this question?​

You earn $320 in 40 hours. At this rate,

how many hours do you have to work to earn $440?

​ (a)   /​ (b)  

• money/dollars
• time/hours
• earn
• work
• rate
• how many?

Answer explanation

Since money was mentioned first in the list of variables your ratio would place money first (in the numerator) and hours last (in the denominator)

dollars per hour

Select the correct equation for this scenario

You earn $320 in 40 hours. At this rate, how many hours do you have to work to earn $440?

Answer explanation

Whatever units are in the numerator for your first ratio MUST be in the numerator for the 2nd ratio

Answer the question using the correct ratio

You earn $320 in 40 hours. At this rate, how many hours do you have to work to earn $440?

Mathematical Equivalence

ON

Answer explanation

Set up the equation correctly

then

Cross multiply and solve

What ratio would you set up for this question?​

Ronald drove 200 miles in 2.5 hours, at this rate, how long many miles would he travel if he drove 7 hours.

​ (a)   ​ ​ /​ (b)  

• miles
• hours
• first
• trend
• rate
• how many?

Answer explanation

Since miles was mentioned first in the list of variables your ratio would place runs first (in the numerator) and hours last (in the denominator)

miles per hour

Mr. Kestle found 304 seashells on the beach.  He gave his little brother, Carlito, some of his seashells.  Mr. Kestle has 59 seashells left.  Which equation best represents the number of seashells, x, Mr. Kestle gave to Carlito?  

• x=59+304

• 304=x+59

A rope which is 20 meters long is cut into 9 pieces of equal length. What is the length of each piece?  Round your answer to the nearest hundredth.

Mathematical Equivalence

ON

Answer explanation

Total divided by piece

20/9

Anthony borrowed $20 from a friend, Josue.  He paid Josue $5.25 of the money back.  How much money does Anthony still owe Josue? 

Mathematical Equivalence

ON