Question

(a) A company made 6 go-kart engines using 44.4 kilograms (kg) of molten steel. Cooling the engines after the manufacturing process required 8 liters of water for each kilogram of steel. The company would like to make 8 go-kart engines using the same amount of steel in each engine as last time.
Fill in the blanks below. Then use the diagram to show the steel and water needed to make 8 go-kart engines.
Amount of steel used for each engine (? kg)

Amount of water used for each engine (? liters)

How much water is used to make 8 go kart engines?

Answer 1

To find the amount of steel used for each engine, we can start from the information given:

**Total amount of steel used for 6 go-kart engines:** 44.4 kg

To find the amount of steel per engine, we divide the total amount of steel by the number of engines:

\[
\text{Amount of steel used for each engine} = \frac{44.4 \text{ kg}}{6} = 7.4 \text{ kg}
\]

Now we need to determine how much water is used for each engine. Given that the cooling process requires 8 liters of water for each kilogram of steel, we can calculate the amount of water needed for each engine as follows:

\[
\text{Amount of water used for each engine} = 7.4 \text{ kg} \times 8 \text{ liters/kg} = 59.2 \text{ liters}
\]

Now we need to find out how much water is used to make 8 go-kart engines. First, we will use the same amount of steel for each engine (7.4 kg) and calculate:

For 8 go-kart engines:

\[
\text{Total steel needed} = 8 \text{ engines} \times 7.4 \text{ kg/engine} = 59.2 \text{ kg}
\]

Now we'll calculate the total amount of water needed:

\[
\text{Total water for 8 engines} = 59.2 \text{ kg} \times 8 \text{ liters/kg} = 473.6 \text{ liters}
\]

**Final Answers:**
- Amount of steel used for each engine: **7.4 kg**
- Amount of water used for each engine: **59.2 liters**
- Total amount of water used to make 8 go-kart engines: **473.6 liters**