3.On a certain map, 3/4 inch represents one mile. What distance, in miles,
is presented by 1 3/4 inches?
(a) 1 1/2
,(b) 2 1/3
(c) 2 1/2
(d) 5 1/4
ANS: (b) 2 1/3
In this question, the ratio is implied: for every 3/4 inch of map there is 1
real mile, so the ratio of inches to the miles they represent is always 3/4
to 1. Therefore, you can set up the proportion:
number of inches/ number of miles = 3/4 /
1 = 3/4 Now 1 3/4 inches = 7/4 inches.
Set up a proportion:
7/4 inches
7/4 inches / number of miles
= 3/4 Cross-multiply:
7/4(4) = 3 (number of
miles) 7= 3(number of
miles)
, 7/3 = number of miles or 2 1/3 = number of miles
4.A certain box contains baseballs and golf balls. If the ratio of baseballs to
golf balls is 2:3 and there are 30 baseballs in the box, how many golf balls
are in the box?
(a) 18
(b) 20
(c) 36
(d) 45
ANS: (d) 45
You can express the ratio of baseballs to golf balls as 2/3. Since you know
the number of baseballs, you can set up a proportion: 2/3 = 30/ (x)
where (x) is the number of golf balls. To solve, cross-multiply to get 2(x)
= 90, or x = 45.
5.Four people shared a taxi to the airport. The fare was $36.00, and they
gave the driver a tip equal to 25% of the fare. If they equally shared the cost
of the
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