Question

Sara knows that 3 bags of corn are needed to feed 23 chickens. Which equation can Sara solve to find b, the number of bags needed to feed 170 chickens?

a) 3b = 23 × 170
b) b = 3/23 × 170
c) b = 23/3 × 170
d) 170b = 23 × 3

Answer 1

To determine the number of bags of corn needed to feed 170 chickens, a proportion based on the given information is used, and cross-multiplication is performed to solve for b. The correct equation to find b is b = 3/23 × 170.

Step-by-step explanation:

To find b, the number of bags of corn needed to feed 170 chickens, we need to set up a proportion based on the information provided:

• 3 bags of corn feed 23 chickens.

We want to know: how many bags (b) feed 170 chickens? The proportion will be:

3 bags / 23 chickens = b bags / 170 chickens

Cross-multiplying to solve for b gives us:

3 × 170 = b × 23

Now we divide both sides by 23 to find b:

b = (3 × 170) / 23

The above equation matches option (b), so the correct equation is:

b = 3/23 × 170