Which rates are equivalent?
A. 36 us dollars/48 canadian dollars= 54 us dollars/72 canadian dollars
B. 18 us dol./24 can. dol.= 45 usdol./48 can. dol.
C. 18 us dol/24 can dol.= 54 us dol/60 can dol.
D. 48 us dol./64 Can Dol= 72 US dol./128 can dol.
In all of the first expressions, 3 U.S. dollars = 4 Canadian dollars. Or, put another way -- 3/4 (75%) of a U.S. $ = 1 Can. $.
Let's take 3/4 of the Canadian dollars in your problem.
A. 3/4 of 72 = 54
B. 3/4 of 48 = 36
C. 3/4 of 60 = 45
D. 3/4 of 128 = 96
Do you see the correct answer above?
To determine which rates are equivalent, we need to compare the ratios of the values given.
Let's simplify each rate first:
A. Rate: 36 USD / 48 CAD = 3/4 USD / 1 CAD
and 54 USD / 72 CAD = 3/4 USD / 1 CAD
B. Rate: 18 USD / 24 CAD = 3/4 USD / 1 CAD
and 45 USD / 48 CAD = 15/16 USD / 1 CAD
C. Rate: 18 USD / 24 CAD = 3/4 USD / 1 CAD
and 54 USD / 60 CAD = 9/10 USD / 1 CAD
D. Rate: 48 USD / 64 CAD = 3/4 USD / 1 CAD
and 72 USD / 128 CAD = 9/16 USD / 1 CAD
Looking at the simplified rates, we can see that:
A. 3/4 USD / 1 CAD is equivalent to 3/4 USD / 1 CAD
Therefore, A is an equivalent rate.
B. 3/4 USD / 1 CAD is not equivalent to 15/16 USD / 1 CAD
Therefore, B is not an equivalent rate.
C. 3/4 USD / 1 CAD is not equivalent to 9/10 USD / 1 CAD
Therefore, C is not an equivalent rate.
D. 3/4 USD / 1 CAD is equivalent to 9/16 USD / 1 CAD
Therefore, D is an equivalent rate.
Based on this analysis, the equivalent rates are:
A. 36 USD/48 CAD = 54 USD/72 CAD
D. 48 USD/64 CAD = 72 USD/128 CAD