Question
Dona found that she had 7 almonds left over after filling a number of bags with 25 almonds each. She let b represent the number of bags and wrote an expression to represent the total number of almonds. She found that b = 20 and then substituted to find the total number of almonds.
Which statements should be part of Dona’s solution? Check all that apply.
Dona had 507 almonds.
To evaluate, substitute 25 for the variable.
Write the expression StartFraction 25 Over b EndFraction + 7.
Dona had 157 almonds.
Write the expression 25 b + 7.
Twenty-five times 20 equals 500.
The operations needed are multiplication and addition.
Which statements should be part of Dona’s solution? Check all that apply.
Dona had 507 almonds.
To evaluate, substitute 25 for the variable.
Write the expression StartFraction 25 Over b EndFraction + 7.
Dona had 157 almonds.
Write the expression 25 b + 7.
Twenty-five times 20 equals 500.
The operations needed are multiplication and addition.
Answers
GPT-4o mini
From the information provided, we can analyze the problem Dona is working on regarding the total number of almonds. Here are the statements that should be included in Dona's solution:
1. **Dona had 507 almonds.** (This statement is incorrect, as we will see the calculations show she had 157 almonds.)
2. **To evaluate, substitute 25 for the variable.** (This is incorrect; the variable b is the number of bags, which is 20.)
3. **Write the expression StartFraction 25 Over b EndFraction + 7.** (This statement is incorrect. The correct expression includes the number of bags as b, which does not fit here.)
4. **Dona had 157 almonds.** (This statement is correct. The total is 25 bags x 20 bags + 7 almonds leftover = 500 + 7 = 507 almonds.)
5. **Write the expression 25b + 7.** (This statement is correct. The total number of almonds can be expressed as 25 times the number of bags plus the leftover almonds.)
6. **Twenty-five times 20 equals 500.** (This statement is correct. The calculation confirms Dona’s solution.)
7. **The operations needed are multiplication and addition.** (This statement is correct as well, since you multiply the number of bags by 25 and then add the 7 left over.)
Using the provided statements, the following are true:
- Dona had 157 almonds. **(Incorrect in context; actual was 507 almonds)**
- Write the expression \(25b + 7.\)
- Twenty-five times 20 equals 500.
- The operations needed are multiplication and addition.
Thus, options that should be part of Dona's solution would be:
- Dona had 157 almonds (Should be corrected to say 507).
- Write the expression 25b + 7.
- Twenty-five times 20 equals 500.
- The operations needed are multiplication and addition.
1. **Dona had 507 almonds.** (This statement is incorrect, as we will see the calculations show she had 157 almonds.)
2. **To evaluate, substitute 25 for the variable.** (This is incorrect; the variable b is the number of bags, which is 20.)
3. **Write the expression StartFraction 25 Over b EndFraction + 7.** (This statement is incorrect. The correct expression includes the number of bags as b, which does not fit here.)
4. **Dona had 157 almonds.** (This statement is correct. The total is 25 bags x 20 bags + 7 almonds leftover = 500 + 7 = 507 almonds.)
5. **Write the expression 25b + 7.** (This statement is correct. The total number of almonds can be expressed as 25 times the number of bags plus the leftover almonds.)
6. **Twenty-five times 20 equals 500.** (This statement is correct. The calculation confirms Dona’s solution.)
7. **The operations needed are multiplication and addition.** (This statement is correct as well, since you multiply the number of bags by 25 and then add the 7 left over.)
Using the provided statements, the following are true:
- Dona had 157 almonds. **(Incorrect in context; actual was 507 almonds)**
- Write the expression \(25b + 7.\)
- Twenty-five times 20 equals 500.
- The operations needed are multiplication and addition.
Thus, options that should be part of Dona's solution would be:
- Dona had 157 almonds (Should be corrected to say 507).
- Write the expression 25b + 7.
- Twenty-five times 20 equals 500.
- The operations needed are multiplication and addition.