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.
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.
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 email@example.com or call us at 6280 6841.
Intellicat Tuition School is located at 1030A Upper Serangoon Road S(534767).
By Jimmy Ling
Director, Math Tutor
Intellicat Tuition School
Subscribe below to receive updates of materials, notes and online courses!