# Solutions for PSLE Math Challenging Problem Sums Question 1

Last week, I shared 5 PSLE Math Challenging problem sums. Below are the solutions for question 1. After you have read and understood the method, there are a few more questions below for you to practice.

1) 1 kg of cherries cost $0.50 more than 1 kg of grapes. Mr Tan collected $312 for selling some cherries and grapes. He sold ¾ as much cherries as grapes. The total amount collected from the sale of grapes was $24 more than the amount collected from the sale of cherries.

a) Find the mass of grapes sold.

b) Find the cost of 1kg of cherries.

Solutions

Cherries : Grapes = 3 : 4

Find the total amount spent on cherries and grapes first.

Cherries = (312 – 24)/2 = $144

Grapes = 144 + 24 = $168

Next, divided the amount by their units to find the cost of 1 unit

1 unit of Cherries = $144 / 3 = $48

1 unit of Grapes = $168 / 4 = $42

Next, find the difference between 1 unit of cherries and 1 unit of grapes

$48 – $42 = $6

Then, divide this by $0.5 to find the weight of fruits in 1 unit.

$6 / $0.5 = 12

Answer for a) 12 * 4 = 48 kg

Cost of 1 kg of grapes = $168 / $48 = $3.5

Answer for b) $3.50 + $0.50 = $4.0

After you have understood the method, you can try these questions now. Remember, reading is not enough. You have to practice!!

1) John paid $96 for some terrapins and guppies. There were 3 times as many guppies as terrapins and each terrapin cost $10.40 more than a guppy. He paid $30 more for all the terrapins than guppies.

a) How many terrapins did he buy?

b) Find the cost of each guppy.

2) Mr Li collected a total of $2363 from selling some shirts and dresses. He sold 4 times as many dresses as shirts. Each dress cost $19 less than each shirt. The total sales of the dresses was $901 more than the total sales of the shirts. Find the cost of each shirt.

**Contact Us!**

Math is one of the few subjects that you can easily train/practise till you score an **A**. At Intellicat Tuition School, we teach you how to break down complicated problem sums into easy, solvable steps. Feel free to contact us at **enquiry@gradesolution.com.sg** or call us at **6280 6841.**

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By Jimmy Ling

Director, Math Tutor

Intellicat Tuition School

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