Sunday, October 2, 2022
HomeMathWriting an Equation and Checking Options

Writing an Equation and Checking Options



To resolve actual world issues, all the time you will need to know how one can write an equation which represents the given state of affairs. 

To jot down an equation for the given state of affairs, first we’ve got to know the connection between the portions.

Utilizing the connection between the portions, we’ve got to put in writing the equation which represents the given state of affairs.

We will substitute a given worth for the variable in a real-world equation to test if that worth is smart for the state of affairs.

Instance 1 :

Sarah used a present card to purchase $47 value of meals. She has $18 left on her reward card. Write an equation to signify this example and use it to find out whether or not Sarah had $65 or $59 on the reward card earlier than shopping for meals.

Answer :

Step 1 :

Write a phrase equation primarily based on the state of affairs.

Step 2 :

Rewrite the equation utilizing a variable for the unknown amount and the given values for the identified portions.

Let x be the quantity on the cardboard.

The quantity spent and the quantity left on the card are the identified portions. Substitute these values within the equation. 

Step 3 :

Substitute 65 and 59 for x to see which equation is true.

So, the quantity on Sarah’s reward card earlier than she purchased meals was $65.

Instance 2 :

On Saturday morning, Owen earned $24. By the top of the afternoon he had earned a complete of $62. Write an equation to signify the state of affairs. Inform what the variable represents. Decide whether or not Owen earned $38 or $31 on Saturday afternoon.

Answer :

Step 1 :

Write a phrase equation primarily based on the state of affairs.

Quantity earned on Saturday morning 

Quantity earned on Saturday afternoon

||

Whole cash earned

Step 2 :

Let x be the quantity  earned by Owen between morning and afternoon

The quantity earned within the morning and whole quantity earned by the top of the afternoon are identified portions. Substitute these values within the equation. 

Then the phrase equation will turn out to be

24 + x  =  62

Step 3 :

Substitute 38 and 31 for x to see which equation is true.

So, Owen earned $38 on Saturday afternoon. 

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