Question

kayra spent $50 at a book sale and bought a total of 21 books. she bought h hardcover books for $3 each and p paperback books for $2 each. which system of equations represents the situation?
a h + p = 21
2h + 3p = 50
b h + p = 21
3h + 2p = 50
c h + p = 50
2h + 3p = 21
d h + p = 50
3h + 2p = 21

Explanation:

Step1: Find the equation for the total number of books

The total number of hard - cover books is $h$ and the total number of paperback books is $p$. The total number of books is 21. So, $h + p=21$.

Step2: Find the equation for the total cost of books

Hard - cover books cost $3$ dollars each and paperback books cost $2$ dollars each. Kayra spent 50 dollars in total. So the cost equation is $3h + 2p = 50$.

Answer:

B. $h + p = 21$, $3h+2p = 50$