Ratios
If the ratio of boys to girls in the class is 15:13, how many boys are in the class? Explain how you know.
15 boys are in the class.
If 8 granola bars cost $2.56, how much is each granola bar?
$0.32
What is 10% of 40?
4
The new cost of the item is $64
Are 3:4 and 48: 60 equivalent ratios? Explain how you know
No they are not equivalent
To get from 3 to 48, you multiply 3 by 16 and to get from 4 to 60 you multiple by 15. Thus these are not equivalent ratios.
If a duck waddles 86m in 3 hours, how many m does the duck travel each hour?
The duck travels 28.67m/h
What is 20% of 60 (no calculator!)
12
You have just finished dinner and are leaving a 15% tip on your $45 bill (which includes taxes). What is the total cost of your bill including tip?
The total cost is $51.75
What is the lowest this ratio can be simplified to?
18:75
6:25
Kawhi and Lowry travel by plane from San Francisco to Toronto for the game tonight. If they travel 4,200km in 5 hours, how many km do they travel per hour?
840km/h
What is 36% of 253?
91.08
The sweater at Zara is now 35% off the original price of $65. What is the cost of the sweater with the discount, and including the 13% tax?
If the Toronto Maple Leafs have a ratio of 4:1 wins to losses, and they play 60 games. How many games will they win?
48:12
They will win 48 games if they play 60
Which is the better buy? Explain how you know
1. 2.5L of orange juice for $2.80
2. 4.3L of orange juice for $4.25
1. $1.12/L
2. $0.98/L
I know that 2 is the better buy because when I calculate the unit rate and figure out price per litre, the price per litre in the second option is less than the price per litre in the first.
Is 44 42% of 98?
A video game is normally $42. If it is on sale for $33, what percent is the discount?
The video game is on sale for 21% off
A necklace is made using 80 silver and gold beads. If the ratio of silver to gold beads is 3:2, how many silver beads are used?
48 silver beads and 32 gold beads
Usain Bolt runs 400m in 50 seconds, and Andre De Grasse runs 600m in 80 seconds. Who is the faster runner? Explain how you know.
1. 8m/s
2. 7.5m/s
Usain Bolt is the faster runner because when I convert it to find the number of meters each of them run per second, Usain runs more meters per second than Andre.
I have a $30 budget to buy a cake for 8B for grad. If the cake costs $38, but is on sale for 25% off, do I have enough money to buy the cake?
Do I have enough money to buy the cake once the 13% tax is added?
1. Yes the new cost of the cake is $28.5 with the 25% discount.
2. No, the cost of the cake with the discount and tax is $32.21
If BMO offers 2% interest (they ADD 2% each year that you have money in the bank), and you have put in $100, how much interest will you gain in 4 years?
Year 1: $102
Year 2: 104.04
Year 3: 106.12
Year 4: 108.24
After 4 years, with 2% interest, the money will be worth $108.24