Answer :
Sure! Let's solve this word problem step-by-step:
1. Understanding the Problem:
The problem states that Michelle ate a certain number of grapes, represented by the variable [tex]\( g \)[/tex], from a total of 57 grapes. We are asked to find how many grapes are left after she ate some of them.
2. Setting Up the Expression:
To find out how many grapes Michelle has left, we need to subtract the number of grapes she ate ([tex]\( g \)[/tex]) from the total number of grapes she started with (57).
3. Writing the Algebraic Expression:
The mathematical expression for the number of grapes left is given by:
[tex]\[
57 - g
\][/tex]
This expression represents the total number of grapes she started with minus the number of grapes she ate.
4. Choosing the Correct Option:
Among the four options provided:
- [tex]\( 57g \)[/tex] implies multiplying the number of grapes eaten by 57, which doesn’t fit our scenario.
- [tex]\( \frac{g}{57} \)[/tex] implies dividing the grapes eaten by 57, which is not relevant here.
- [tex]\( g - 57 \)[/tex] reverses the subtraction, which would not make sense in this context (it would imply more were eaten than started with).
- [tex]\( 57 - g \)[/tex] is the correct expression for how many grapes Michelle has left.
Therefore, the correct algebraic expression representing how many grapes Michelle has left is [tex]\( 57 - g \)[/tex].
1. Understanding the Problem:
The problem states that Michelle ate a certain number of grapes, represented by the variable [tex]\( g \)[/tex], from a total of 57 grapes. We are asked to find how many grapes are left after she ate some of them.
2. Setting Up the Expression:
To find out how many grapes Michelle has left, we need to subtract the number of grapes she ate ([tex]\( g \)[/tex]) from the total number of grapes she started with (57).
3. Writing the Algebraic Expression:
The mathematical expression for the number of grapes left is given by:
[tex]\[
57 - g
\][/tex]
This expression represents the total number of grapes she started with minus the number of grapes she ate.
4. Choosing the Correct Option:
Among the four options provided:
- [tex]\( 57g \)[/tex] implies multiplying the number of grapes eaten by 57, which doesn’t fit our scenario.
- [tex]\( \frac{g}{57} \)[/tex] implies dividing the grapes eaten by 57, which is not relevant here.
- [tex]\( g - 57 \)[/tex] reverses the subtraction, which would not make sense in this context (it would imply more were eaten than started with).
- [tex]\( 57 - g \)[/tex] is the correct expression for how many grapes Michelle has left.
Therefore, the correct algebraic expression representing how many grapes Michelle has left is [tex]\( 57 - g \)[/tex].
