Questions: Farming: A 4-H Club group is raising lambs to show at the County Fair. Each lamb eats 1/8 of a bale of alfalfa a day. If the alfalfa costs 12.50 per bale, how much will it cost to feed one lamb for 152 days? It'll cost to feed the lamb for 152 days.

Farming: A 4-H Club group is raising lambs to show at the County Fair. Each lamb eats 1/8 of a bale of alfalfa a day. If the alfalfa costs 12.50 per bale, how much will it cost to feed one lamb for 152 days?

It'll cost to feed the lamb for 152 days.

Transcript text: Farming: A 4-H Club group is raising lambs to show at the County Fair. Each lamb eats $\frac{1}{8}$ of a bale of alfalfa a day. If the alfalfa costs $\$ 12.50$ per bale, how much will it cost to feed one lamb for 152 days? It'll cose \$ $\square$ to feed the lamb for 152 days.

Solution

Solution Steps

To determine the cost to feed one lamb for 152 days, we need to calculate the total number of bales of alfalfa consumed by the lamb and then multiply that by the cost per bale.

Calculate the total amount of alfalfa consumed by one lamb in 152 days.
Multiply the total amount of alfalfa by the cost per bale to get the total cost.

Step 1: Calculate Total Alfalfa Consumed

The amount of alfalfa consumed by one lamb per day is given as $ \frac{1}{8} $ bales. Over a period of 152 days, the total alfalfa consumed can be calculated as:

\[ \text{Total Alfalfa} = 152 \times \frac{1}{8} = 19 \text{ bales} \]

Step 2: Calculate Total Cost

The cost of one bale of alfalfa is $ 12.50 $ dollars. Therefore, the total cost to feed one lamb for 152 days is:

\[ \text{Total Cost} = 19 \times 12.50 = 237.50 \text{ dollars} \]