In the lesson (The price of a repeated set). Price one set, and count how many sets the money buys. In the lesson (The price of a repeated set). Multiply the two straight down, and the bottom row is money.
Lesson videos, with the working
Lesson 1
The price of a repeated set
2 min 03 s
The film teaches 1 question. The question shows first; its working is written as the film explains it.
At a stall, for every 4 curry puffs sold, 3 egg tarts are sold. Each curry puff costs $2 and each egg tart costs $3. One morning the stall collected $476 from curry puffs and egg tarts. How many egg tarts did the stall sell?
The stall sold 84 egg tarts.
Ans: 84
How to solve it
Find the repeating set: 4 curry puffs and 3 egg tarts. Every set is exactly the same.
Price the set: 4 curry puffs at 2 dollars is 8 dollars, and 3 egg tarts at 3 dollars is 9 dollars.
Add for the cost of one set: 8 plus 9 is 17 dollars.
Divide the total money by the set price: 476 divided by 17 is 28 sets.
Count what is asked for: each set has 3 egg tarts, and 28 sets of 3 is 84 egg tarts.
Find the set price. Divide the total by it. So the money doesn't split the way the items do. Price one set, and count how many sets the money buys.
Lesson 2
The price of a repeated set
3 min 00 s
The film teaches 1 question. The question shows first; its working is written as the film explains it.
A caterer bought spring rolls, samosas and satay sticks. 2/5 were spring rolls and 1/4 were samosas. A spring roll cost as much as 2 samosas or 3 satay sticks. The caterer spent $170 more on spring rolls than on satay sticks. How much did the caterer spend altogether?
The caterer spent $385 altogether.
Ans: $385
How to solve it
Find the repeating set: 4 curry puffs and 3 egg tarts. Every set is exactly the same.
Price the set: 4 curry puffs at 2 dollars is 8 dollars, and 3 egg tarts at 3 dollars is 9 dollars.
Add for the cost of one set: 8 plus 9 is 17 dollars.
Divide the total money by the set price: 476 divided by 17 is 28 sets.
Count what is asked for: each set has 3 egg tarts, and 28 sets of 3 is 84 egg tarts.
Find the set price. Divide the total by it. So the money doesn't split the way the items do. Price one set, and count how many sets the money buys.
Practice questions with worked solutions
Question 1 is free to try. The other 6 open in the free trial, each with its full working.
Question 1 of 7 · Intermediate · free to tryAt a bakery, buns are sold 4 for $5 and puffs are sold 3 for $4. A customer…At a bakery, buns are sold 4 for…
At a bakery, buns are sold 4 for $5 and puffs are sold 3 for $4. A customer spent the same amount of money on buns as on puffs. What fraction of the items the customer bought were buns? Give your answer in the simplest form.
How do you solve ratio and money word problems in P6?
Some Primary 6 ratio questions give a ratio of items and a total in dollars.
What your child learns here
Some Primary 6 ratio questions give a ratio of items and a total in dollars. Because each item has its own price, the money does not split in the same ratio as the items. Your child learns to price one repeating set and count how many sets the money buys.
Find the repeating set the ratio describes and work out its cost.
Divide the total money by the cost of one set to find the number of sets.
Tell a ratio of items apart from a ratio of money, and from a ratio of containers.
Applies ratio to money problems that also use multiplication and division.
Does the answer make sense?
When your child's answer counts one kind of item, it must be a whole multiple of how many come in one set, so the egg tarts sold must divide exactly by 3 and the shampoo bottles by 5. A 'how many more' answer must be a multiple of the gap inside one set.
How to practise these questions
Intermediate questions train treating a ratio as a repeating set and pricing or weighing the whole set at once, with packs, containers, and ratios of value built from quantity and price. Challenge questions give fractional prices with a value gap, or bring two different kinds of ratio into one story. If the repeated set idea is unclear, read the written step-by-step solution together.
Questions parents ask
Why can't the money be shared in the same ratio as the items? Because each item has its own price. If a notebook costs more than a pen, 2 notebooks and 3 pens do not cost $2 and $3, so price one set first and then count sets.
Is this kind of money question in the P6 syllabus? It applies the Primary 6 ratio outcomes, interpreting a ratio and dividing a quantity in a given ratio, to money. It also uses the multiplication and division of money your child already knows.
What is a repeating set in a ratio question? It is the smallest group the ratio describes. For 2 notebooks to every 3 pens, one set is 2 notebooks and 3 pens, and the purchase is made of whole sets.
