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A well-known cricketer Glen McGrath went to purchase a certain number of cricket balls. There were two types of cricket balls in the outlet: Kookaburra balls and SG balls. A SG ball was 70 cents costlier than a Kookaburra ball. If it is known that he purchased a total of 30 balls and spent $32 on purchasing the balls, what could be the possible cost of a Kookaburra ball?

A well-known cricketer Glen McGrath went to purchase a certain number of cricket balls. There were two types of cricket balls in the outlet: Kookaburra balls and SG balls. A SG ball was 70 cents costlier than a Kookaburra ball. If it is known that he purchased a total of 30 balls and spent $32 on purchasing the balls, what could be the possible cost of a Kookaburra ball? Correct Answer 60 cents.

Calculation:

Let the cost of each Kookaburra ball be t cents. 

So, the cost of each SG ball will be (t + 70) cents.

Let us suppose Glen McGrath bought k Kookaburra balls and (30 – k) SG balls. 

So, total cost = kt + (30 – k)(t + 70)

Or, 3200 = kt + 30t + 2100 – kt – 70k

⇒ 1100 = 30t – 70k 

Or, k = (30t - 1100)/70

⇒ k = (3t - 110)/7

When t = 60, we get a feasible value of k.

So, the cost of each Kookaburra ball = 60 cents.

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