Answer :
Certainly! Let's solve this step-by-step.
1. Understand the Cost of Milk per Litre:
The cost of milk is given in mixed fraction form as [tex]\(37 \frac{3}{4}\)[/tex] dollars per litre.
To convert this into an improper fraction, we do the following:
[tex]\[ 37 \frac{3}{4} = 37 + \frac{3}{4} = 37.75 \, \text{dollars per litre} \][/tex]
2. Calculate the Amount of Milk Needed:
The amount of milk needed is given as [tex]\(6^2 \, \text{d}\)[/tex]. Let's evaluate this expression:
[tex]\[ 6^2 = 36 \, \text{litres} \][/tex]
3. Calculate the Total Cost:
To find the total cost, we multiply the cost per liter by the number of litres needed:
[tex]\[ \text{Total Cost} = 37.75 \, \text{dollars per litre} \times 36 \, \text{litres} \][/tex]
So, the total cost of the milk is:
[tex]\[ 37.75 \times 36 = 1359.0 \, \text{dollars} \][/tex]
Therefore, the cost of [tex]\(36\)[/tex] litres of milk at [tex]\(37.75\)[/tex] dollars per litre is [tex]\(1359.0\)[/tex] dollars.
1. Understand the Cost of Milk per Litre:
The cost of milk is given in mixed fraction form as [tex]\(37 \frac{3}{4}\)[/tex] dollars per litre.
To convert this into an improper fraction, we do the following:
[tex]\[ 37 \frac{3}{4} = 37 + \frac{3}{4} = 37.75 \, \text{dollars per litre} \][/tex]
2. Calculate the Amount of Milk Needed:
The amount of milk needed is given as [tex]\(6^2 \, \text{d}\)[/tex]. Let's evaluate this expression:
[tex]\[ 6^2 = 36 \, \text{litres} \][/tex]
3. Calculate the Total Cost:
To find the total cost, we multiply the cost per liter by the number of litres needed:
[tex]\[ \text{Total Cost} = 37.75 \, \text{dollars per litre} \times 36 \, \text{litres} \][/tex]
So, the total cost of the milk is:
[tex]\[ 37.75 \times 36 = 1359.0 \, \text{dollars} \][/tex]
Therefore, the cost of [tex]\(36\)[/tex] litres of milk at [tex]\(37.75\)[/tex] dollars per litre is [tex]\(1359.0\)[/tex] dollars.
