Question

19 A shop sells milk in 1 pint bottles and in 2 pint bottles. Each 1 pint bottle of milk costs 52p. Each 2 pint bottle of milk costs 93p. Martin has no milk. He assumes that he uses, on average, 3 of a pint of milk each day. 4 Martin wants to buy enough milk to last for 7 days. (a) Work out the smallest amount of money Martin needs to spend on milk You must show all your working.​

Answer 1

To calculate the smallest amount of money Martin needs to spend on milk, we need to consider his average daily consumption and the number of days he wants the milk to last. Here's the step-by-step calculation:

Calculate Martin's total milk consumption for 7 days:

Average daily consumption = 3/1 pint (3 pints per day)

Total consumption for 7 days = 3 pints/day * 7 days = 21 pints

Determine the number of 1 pint bottles and 2 pint bottles needed:

Let's assume Martin buys x 1 pint bottles and y 2 pint bottles.

From the total consumption, we can set up the following equation:

1 pint bottles + 2 pint bottles = total consumption

x + 2y = 21

Calculate the total cost:

Cost of each 1 pint bottle = 52p

Cost of each 2 pint bottle = 93p

Total cost = (number of 1 pint bottles * cost of 1 pint) + (number of 2 pint bottles * cost of 2 pints)

Total cost = (x * 52) + (y * 93)

Solve the system of equations to find the values of x and y:

We have the following equations:

x + 2y = 21

Total cost = (x * 52) + (y * 93)

Solving the system of equations will give us the values of x and y.

Substitute the values of x and y into the total cost equation to find the smallest amount of money Martin needs to spend on milk.

Unfortunately, without specific values for x and y, it's not possible to provide an exact solution. However, by solving the system of equations with the given information, you can find the smallest amount of money Martin needs to spend on milk.

Explanation: