3.03 Ratio tables
Complete the following equivalent ratios:
If the following ratios are equivalent to 5:28, find the value of x:
80:x
50:x
x:84
60:x
x:252
x:504
110:x
Complete the ratio table for the ratio 6 : \dfrac{2}{3}.
| 6 | 12 | 18 | |
|---|---|---|---|
| \dfrac{2}{3} | \dfrac{8}{3} |
Complete the ratio table for the ratio \dfrac{1}{5} : \dfrac{2}{5}.
| \dfrac{1}{5} | \dfrac{2}{5} | \dfrac{3}{5} | \dfrac{4}{5} | |
|---|---|---|---|---|
| \dfrac{2}{5} | \dfrac{4}{5} | \dfrac{6}{5} | 2 |
Kate and Laura are selling cakes at a bake sale. For every 6 cakes that Kate sells, she will make \$15. For every 24 cakes that Laura sells, she will make \$53.
Complete the table for Kate's sales:
| \text{Cakes sold} | 6 | 18 | 30 | ||
|---|---|---|---|---|---|
| \text{Earning } (\$) | 30 | 60 | 75 |
Complete the table for Laura's sales:
| \text{Cakes sold} | 48 | 72 | 96 | 120 | |
|---|---|---|---|---|---|
| \text{Earning } (\$) | 53 | 159 | 212 | 265 |
Whose cakes are more expensive? Explain your answer.
David and Justin both travel to school by riding scooters. David travels 8 \text{ km} in 4 minutes. Justin travels 35 \text{ km} in 16 minutes. Assume that both travel at a constant speed.
Complete the table for the distance traveled by David for each time period:
| Time (minutes) | 4 | 8 | 16 | |
|---|---|---|---|---|
| Distance (kilometers) | 8 | 24 | 32 |
Complete the table for the distance traveled by Justin for each time period:
| Time (minutes) | 16 | 48 | 80 | ||
|---|---|---|---|---|---|
| Distance (kilometers) | 70 | 140 | 175 |
Who travels faster? Explain your answer.
Ryan and Valerie are preparing for a party. Ryan blows up 12 balloons in 15 minutes. Valerie blows up 24 balloons in 28 minutes. Assume that both keeps blowing up balloons at a constant rate.
Complete the table for the number of balloons Ryan blows up for each time period:
| Time (minutes) | 0 | 15 | 45 | 60 | |
|---|---|---|---|---|---|
| No. of balloons | 12 |
Complete the table for the number of balloons Valerie blows up for each time period:
| Time (minutes) | 0 | 28 | 56 | 84 | |
|---|---|---|---|---|---|
| No. of balloons | 96 |
Who is blowing up balloons faster?
The cost of different amounts of pens is shown in the ratio table below:
| \text{No. of pens} | 10 | 20 | 30 | 40 | 50 | |
|---|---|---|---|---|---|---|
| \text{Cost }(\$) | 11.60 | 29.00 | 58.00 |
Complete the ratio table.
Find the cost of buying 90 pens.
How much would you expect to pay for 5 pens?
To convert US dollars, USD (\$), to British pounds, GBP (\pounds), we can use the ratio table below:
| \text{USD } (\$) | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| \text{GBP } (\pounds) | 0.60 |
Complete the ratio table.
How many pounds will you be able to buy with \$11?
Hector has just returned from holiday with \pounds 15.00. How many US dollars can he exchange this for?
To convert US dollars, USD (\$), to Japanese yen, JPY (\yen), we can use the ratio table below:
| \text{USD } (\$) | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| \text{JPY } (\yen) | 305.40 |
Complete the ratio table.
Oriana has \$40.00, and wants to buy a dress that costs \yen 4080. Explain whether she can afford the dress.