Applying ratios
Write the ratio: 12 dollars for 3 items in all three common forms (fraction, colon, word)
12/3, 12;3 & 12 to 3
A digital magazine offers two promotional bundles:
Bundle X: $12 for 2 months, plus a one‑time $3 signup fee
Bundle Y: $18 for 3 months with no signup fee
Calculate the monthly cost for each bundle, including any extra fees. Which option is the better financial deal?
Bundle X costs $7.50 per month, and Bundle Y costs $6 per month, so Bundle Y is the better financial deal.
What is a wage rate? Give a money-based example (hourly wage).
A wage rate compares money earned to time worked (e.g., $15/hour).
State the simple interest formula and describe what each letter represents
I = P × r × t
I = interest earned
P = principal saved
r = annual rate as decimal
t = time in years.
A pair of sunglasses is $45. If sales tax is 13%, how much tax do you pay?
Tax = 45 × 0.13 = $5.85.
You earn $180 from babysitting for 15 hours. Write the earnings:hours ratio and simplify to a unit rate (dollars per hour).
180/15, 180:15, 180 to 15
$12/hour
Job A offers $15/hour. Job B offers $280 for 20 hours of work. Which job pays a higher hourly rate?
Job B hourly = 280 ÷ 20 = $14/hr. Job A = $15/hr → Job A pays more
You worked at a café and earned $156 for 12 hours. Calculate your hourly wage.
156 ÷ 12 = $13/hour.
Convert 2.2% to a decimal and calculate interest on $4,000 saved for 1 year at 2.2%.
2.2% = 0.022. Interest = 4000 × 0.022 × 1 = $88.
A concert ticket costs $82.50. Calculate the total you pay including 13% sales tax.
Tax = 82.50 × 0.13 = 10.725 → $10.73 rounded. Total = 82.50 + 10.73 = $93.23.
A stationery pack cost $4 for 5 pens. Write the unit price per pen and present the ratio as a fraction, colon and word.
$0.80 per pen. 4/5, 4:5, 4 to 5
You save $10 per week in your savings jar. Set up a proportion to find how many weeks you must save to reach $400 and solve.
10w = 400 → w = 40 weeks.
Convert an annual salary of $52,000 into an hourly wage assuming full-time hours (40 hrs/week, 52 weeks).
Hourly = 52,000 ÷ (40×52) = 52,000 ÷ 2080 = $25/hour.
Calculate the interest earned on $2,500 at 2.5% for 3 years.
I = 2500 × 0.025 × 3 = 2500 × 0.075 = $187.50.
You buy a laptop for $999. With 13% sales tax, calculate the final price.
Tax = 999 × 0.13 = 129.87. Total = 999 + 129.87 = $1,128.87.
A streaming service charges $56 for 7 months, but includes a free bonus month.
56/7, 56:7, 56 to 7
A car-sharing plan costs $150 for 3 days. At the same rate, how much would 5 days cost? Set up a proportion to solve.
Rate 150 ÷ 3 = 50/day → 50×5 = $250 for 5 days.
Which is best for hourly income: Salary $50,000/year, Job X $20/hour, or Job Y $24/hour? Convert the salary to an hourly rate and justify which pays most per hour.
Salary hourly = 50,000 ÷ 2080 ≈ $24.04/hr. Compare: $24.04 vs $20 vs $24 → Salary ≈ $24.04 slightly beats Job Y $24/hr.
You open a savings account with $20,000. The bank pays 1.8% for 6 months, then 0.9% for the next 6 months. Using simple interest, calculate total interest earned in one year.
I1=20,000⋅0.018⋅0.5=180
I2=20,000⋅0.009⋅0.5=90
Total = 270
Pick two provinces from the provided list that apply HST at 15%, and one province that charges only GST. Then calculate and compare the final price of a $200 jacket in (a) Nova Scotia (15%), (b) Alberta (5%) and (c) Ontario.
Provinces with 15% HST include Nova Scotia and New Brunswick. GST-only example: Nunavut (or Yukon, NWT, Alberta). Nova Scotia: 200 × 1.15 = $230.00. Alberta: 200 × 1.05 = $210.00. Ontario: 200 x 1.13 =226 Difference = N.S. & ON =$4, N.S. & AL = $20,ON & AL =$16
A store sells:
900 g of rice for $4.50
1.5 kg of rice for $7.20
Find the cost‑per‑gram ratio for each option and decide which is the better buy.
Since $0.0048<$0.005, 1.5 kg for $7.20 is the better buy because it has the lower cost per gram.
You plan to save $300. If you save $20 each week, use a proportion to determine how many weeks it will take to reach your goal. Show steps.
It will take 15 weeks to save $300.
If you normally earn $18.75/hour and you work 12 hours overtime one week (paid at 1.5×), how much extra do you earn for overtime that week? Then state total pay if you also worked 28 regular hours that week.
A savings account earns simple interest, but you add money partway through the year. You deposit $5,000 on January 1 at 3% simple interest. After 4 months, you add an additional $2,000 to the account, which also earns simple interest at the same rate for the remaining 8 months. Using simple interest, calculate the total interest earned in the full year.
I1= 5,000 x 0.03 x 1=150
I2= 2,000 x 0.03 x 0.67 = 40.2
Itotal= 150+40= $190.20
You have $100 dollars. Can you buy three items that cost $30, $35 and $20 each?
You can buy all three items and will have $3.95 left.