Question

Li uses yards of fabric to make a small bag and 23 yards of fabric to make a large bag. Li has 147 yards of fabric. She decides to make one large bag and use the rest of the fabric for small bags. Write and solve an algebraic equation to find the number of small bags Li can make.

a) 6 small bags
b) 5 small bags
c) 4 small bags
d) 3 small bags

Answer 1

To find the number of small bags Li can make, subtract the yards of fabric used for the large bag from the total yards of fabric Li has. The equation can be set up as 147 - 23 - x = 0. By isolating x and solving for it, we find that Li can make 3 small bags.

Step-by-step explanation:

To find the number of small bags Li can make, we need to subtract the yards of fabric used for the large bag from the total yards of fabric Li has. Let x represent the number of small bags. The equation can be set up as:

147 - 23 - x = 0

Simplifying the equation, we have:

124 - x = 0

Now, isolate x by subtracting 124 from both sides:

-x = -124

Finally, solve for x by multiplying both sides by -1:

x = 124

L therefore can make 3 small bags.