Write a word problem using 9 and 10 as factors. Write an equation to solve the problem
Sure! Here's a word problem using 9 and 10 as factors:
Mary wants to buy an equal number of packs of 9 pencils and packs of 10 erasers to distribute among her classmates. She wants to buy the fewest number of packs possible. If Mary wants to distribute the supplies evenly among 15 classmates, how many packs of each item should she buy?
To solve this problem, let's use variables. Let "x" represent the number of packs of 9 pencils and "y" represent the number of packs of 10 erasers.
To distribute the supplies evenly, Mary needs to find the least common multiple (LCM) of 9 and 10, which is 90. Therefore, for an equal distribution, the total number of pencils and erasers must be a multiple of 90.
Given that Mary wants to distribute the supplies among 15 classmates, she needs a total of 15 packs each of pencils and erasers. Let's set up an equation to represent this:
9x + 10y = 15 * 90
The left side of the equation represents the total number of pencils and erasers, while the right side represents 15 times the LCM of 9 and 10.
Simplifying the equation, we have:
9x + 10y = 1350
Now, you can solve this equation using various methods such as substitution, elimination, or graphing to find the values of "x" and "y" that satisfy the equation.
I hope this helps!