Level 3 3 pupils shared the cost of a present equally. When calculating the amount each pupil had to pay, a mistake was made. The cost of the present was divided by 4 instead of 3. Each pupil ended up paying $3.90 less than the correct amount. What should be the correct amount for each share?
Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 4 : 5. When 16 fifty-cent coins were taken out and replaced by some twenty-cent coins, the ratio became 8 : 7. The total value of the twenty-cent coins added was the same as the total value of the fifty-cent coins taken out. Find the sum of money in the coin box.
Level 3
Daniel saved some 50-cent coins and $1 notes in his coin box. The total value of the 50-cent coins to the total value of the $1 notes he had was in the ratio 2 : 5. After $14 worth of 50-cent coins and an equal value of $1 notes were added to the coin box, the ratio of the total value of 50-cent coins to the total value of $1 notes became 5 : 9. How many of each type did Daniel have in the end?
Level 3
Olivia bought 3 home theater systems and 6 toasters. Each home theater system costs $280 more than each toaster. She spent 20% of her money on the toasters.
Level 3
Tabitha wanted to buy some cookies and brownies. The cost of a cookie was 34 the cost of a brownie. A set of 3 cookies and 2 brownies cost $5.10. What was the total amount Tabitha had to pay for 17 cookies and 10 brownies?
Level 3
In an envelope, there were a total of 144 notes. 75% of them were $1-notes. The rest were $2-notes. Neave took out some $1-notes. As a result, the remaining $1-notes made up 25% of the notes left in the envelope. Find the total value of the $1-notes Neave took out from the envelope.
Level 3
There are 80 participants in a competition. The average score of each participant is 49.5. The average score of the female participants is 57 and the average score of the male participants is 47.
What is the total score of the 80 participants?
How many female participants are there in the competition?
Level 3
On 1 May to 4 May, an average of 50 waffles were sold and from 5 May to 9 May, an average of 24 waffles were sold. $240 worth of waffles were sold from 10 May to 20 May. Given that a waffle was sold for $2, find the average number of waffles sold from 1 May to 20 May.
Level 3
In a dance audition of 80 dancers, the average score was 58.5 points. Given that the average score of the female dancers was 64 points and that of the male dancers was 56 points, find the number of male dancers who participated in the audition.
