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Question 1 of 4
Find the value of m
5:3=m:12
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A ratio compares quantities of the same type given in the same units.
Convert the ratios into fraction form and solve for m.
| 5:3 |
= |
m:12 |
|
| 53 |
= |
m12 |
Convert to fraction form |
|
| 3(m) |
= |
5(12) |
Cross multiply |
| 3m÷3 |
= |
60÷3 |
Divide both sides by 3 |
| m |
= |
20 |
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Question 2 of 4
Find the value of a
6:24=2:a
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A ratio compares quantities of the same type given in the same units.
Convert the ratios into fraction form and solve for a.
| 6:24 |
= |
2:a |
|
| 624 |
= |
2a |
Convert to fraction form |
|
| 6(a) |
= |
2(24) |
Cross multiply |
| 6a÷6 |
= |
48÷6 |
Divide both sides by 6 |
| a |
= |
8 |
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Question 3 of 4
Find the value of x
4:5=16:x
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A ratio compares quantities of the same type given in the same units.
Convert the ratios into fraction form and solve for x.
| 4:5 |
= |
16:x |
|
| 45 |
= |
16x |
Convert to fraction form |
|
| 4(x) |
= |
16(5) |
Cross multiply |
| 4x÷4 |
= |
80÷4 |
Divide both sides by 4 |
| x |
= |
20 |
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Question 4 of 4
Peter and Andrew divided their money in the ratio of 4:5. If Peter obtained $5.40, how much did Andrew receive?
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A ratio compares quantities of the same type given in the same units.
Write the problem in equation form and let x be the unknown value
Convert the ratios into fraction form and solve for x.
| 4:5 |
= |
5.40:x |
|
| 45 |
= |
5.40x |
Convert to fraction form |
|
| 4(x) |
= |
5.40(5) |
Cross multiply |
| 4x÷4 |
= |
27÷4 |
Divide both sides by 4 |
| x |
= |
6.75 |
