Question

The veterinary uses 2/3 of cases of needles how many needles does the clinic uses an 5 1/2 months

Answer 1

To find out the number of needles the clinic uses in 5 1/2 months, we set up an equation and solve for 'x'.

Step-by-step explanation:

To find out how many needles the clinic uses in 5 1/2 months, we need to consider that they use 2/3 of the cases of needles. Let's assume the clinic uses 'x' cases of needles in 5 1/2 months.

Since they use 2/3 of the cases, we can set up an equation: 2/3 * x = number of cases used.

To solve for 'x', we need to multiply both sides by 3/2: x = (2/3 * x) * (3/2). Simplifying that, we get: x = (2 * 3 * x) / (3 * 2) = 2x/2 = x. So, the clinic uses 'x' cases of needles in 5 1/2 months.

Answer 2

Proportionately if the veterinary uses
`(2)/(3)` of a case of needles monthly, the total used by the veterinary clinic for
`5(1)/(2)` months is approximately 4 cases.

Proportions are fractional values based on equated ratios.

The proportion or fraction of a case of needles used by the veterinary clinic per month =
`(2)/(3)`

The total number of months of usage =
`5(1)/(2)` months

The number of cases used for
`5(1)/(2)` = 3.67 cases (
`5(1)/(2)` x
`(2)/(3)`) ≈ 4 cases

Thus, the veterinary clinic uses approximately 4 cases of needles for
`5(1)/(2)` months.

Complete Question:

The veterinary clinic uses 2/3 of a case of needles each month. How many cases of needles does the clinic use in 5 1/2 month?