Problem

Steve runs a kennel and purchases dog food from a U.S. supplier.
The supplier sells $25 \mathrm{lb}$ bags for $\$ 28.95$ U.S.
a) Each dog eats about $3.5 \mathrm{~kg} /$ week and Steve boards an average of 16 dogs per day. How many bags of dog food will he need for three months?
b) The exchange rate is $\$ 1$ U.S. for $\$ 1.06 \mathrm{Cdn}$ on the day that Steve orders the food. How much will the three month supply of dog food cost in Canadian dollars?

Answer

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Answer

\(\text{The three month supply of dog food will cost }\boxed{\$ 3191.45 \text{ CAD}}\)

Steps

Step 1 :\(\text{a) Calculate the total amount of dog food needed for 3 months:}\)

Step 2 :\(\text{Total dog food per week} = 3.5 \times 16 \times 7 \text{ kg} = 392 \text{ kg}\)

Step 3 :\(\text{Total dog food for 3 months} = 392 \times 3 \text{ kg} = 1176 \text{ kg}\)

Step 4 :\(\text{Convert kg to lb: } 1176 \text{ kg} \times 2.20462 \text{ lb/kg} = 2592.24 \text{ lb}\)

Step 5 :\(\text{Calculate the number of bags needed: }\frac{2592.24}{25} = 103.6896 \)

Step 6 :\(\text{Steve needs }\boxed{104}\text{ bags of dog food for 3 months.}\)

Step 7 :\(\text{b) Calculate the cost in Canadian dollars:}\)

Step 8 :\(\text{Total cost in U.S. dollars} = 104 \times 28.95 = 3010.8 \text{ USD}\)

Step 9 :\(\text{Total cost in Canadian dollars} = 3010.8 \times 1.06 = 3191.448 \text{ CAD}\)

Step 10 :\(\text{The three month supply of dog food will cost }\boxed{\$ 3191.45 \text{ CAD}}\)

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