Question
8. Yan had 5 trading cards, and then his friend gave him more cards. Now he has 16 trading cards. Let \( t \) represent the number of cards his friend gave him. Write both an addition equation and a subtraction equation to model the problem.
Ask by Norton Hodges. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Yan had 5 cards and received \( t \) more from his friend, totaling 16 cards. This can be shown with the addition equation:
\[
5 + t = 16
\]
To find out how many cards his friend gave him, use the subtraction equation:
\[
16 - 5 = t
\]
Solution
1. **Addition Equation**
Yan starts with 5 cards and his friend adds \( t \) cards. After the addition, Yan has 16 cards. This can be modeled as:
\[
5 + t = 16
\]
2. **Subtraction Equation**
To find out how many cards his friend added, we subtract the 5 cards Yan originally had from the total of 16 cards:
\[
16 - 5 = t
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
The addition equation representing the situation is \( 5 + t = 16 \), which shows that Yan started with 5 cards and his friend gave him \( t \) cards, resulting in a total of 16 cards. The corresponding subtraction equation is \( 16 - 5 = t \), illustrating that if you take away the 5 cards Yan had originally from the total he now has, you will find out how many cards his friend gave him. Math problems like this are not just for the classroom! They relate to real-life scenarios, like keeping track of your baseball card collection or estimating how many new books you’ll need to make a reading list. So next time you're trading, think of the equations you can form!
