Question

Kathryn made 38 ice lollies, Sok Sang made 15 ice lollies, and Bee Lian made 78 ice lollies. After Kathryn gave an equal number of ice lollies to Sok Sang and Bee Lian, the ratio of Sok Sang's ice lollies to Bee Lian's became 2 : 9. How many ice lollies did Kathryn have left?

a) 7
b) 9
c) 11
d) 13

Answer 1

After calculating the given problem, we found that none of the provided answer choices matched the correct result. Kathryn had 32 ice lollies left, not 7, 9, 11, or 13 as provided in the options.

Step-by-step explanation:

Kathryn started with 38 ice lollies. After she gave an equal number to Sok Sang and Bee Lian, the ratio of Sok Sang's ice lollies to Bee Lian's became 2:9. Let's call the number of ice lollies Kathryn gave to each person 'x'. So we have:

Sok Sang's new amount: 15 + x

Bee Lian's new amount: 78 + x

And the ratio is 2:9 which gives us the equation:

\((15 + x)/(78 + x) = 2/9\)

By cross-multiplying, we have:

9(15 + x) = 2(78 + x)

135 + 9x = 156 + 2x

7x = 21

x = 3

So, Kathryn gave 3 ice lollies to each. The number of ice lollies she had left is 38 - 2(3) = 32. Therefore, answer (d) 13 is incorrect.

In fact, this question contains a mistake as none of the given answer choices is correct. The correct number of ice lollies Kathryn had left is 32.