The ratio of the number of pears to the number of oranges in a basket
is 5:3. The rest of the fruits are apples. There are 54 more pears than
oranges and 3 more apples than oranges.
(a) How many pears are there in the basket?
(b) What percentage of the fruits are apples?

We can write equations relating pears to oranges, solve them, and then find the number of apples. Let p, o, and 'a' represent the numbers of pears, apples, and oranges.

p/o = 5/3 . . . . . the ratio of pears to oranges is 5:3

p -o = 54 . . . . . there are 54 more pears than oranges

a -o = 3 . . . . . . there are 3 more apples than oranges

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a)

Multiply the first equation by 3/5o to get ...

3/5p = o

Substitute that into the second equation:

p -(3/5)p = 54

2/5p = 54 . . . . . . simplify

p = 54(5/2) = 135 . . . . multiply by 5/2 to get the number of pears

There are 135 pears in the basket.

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b)

a = 3 +o = 3 +3/5p = 3 +3/5(135) = 3 +81 . . . . solve for the number of apples

a = 84

The percentage of fruits that are apples is ...

apples/total = 84/(135 +81 +84) = 84/300 = 28/100 = 28%

28% of the fruits are apples

The ratio of the number of pears to the number of oranges in a basket is 5:3. The rest of the fruits are apples. There are 54 more pears than oranges and 3 more apples than oranges. (a) How many pears are there in the basket? (b) What percentage of the fruits are apples?

Respuesta :

a)

b)

Otras preguntas

The ratio of the number of pears to the number of oranges in a basket
is 5:3. The rest of the fruits are apples. There are 54 more pears than
oranges and 3 more apples than oranges.
(a) How many pears are there in the basket?
(b) What percentage of the fruits are apples?