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Marat540 [252]
3 years ago
15

An Apple costs the same as 2 oranges. Together, an orange and a banana cost 10 cent more than an Apple. Two oranges cost 15 cent

more than a banana. What is the cost for one of each fruit
Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

The cost of 1 apple is 50 cents and cost of 1 banana is 35 cents and cost of 1 orange is 25 cents

<em><u>Solution:</u></em>

Let "a" be the cost of 1 apple

Let "b" be the cost of 1 banana

Let "r" be the cost of 1 orange

<em><u>Given that Apple costs the same as 2 oranges</u></em>

cost of 1 apple = 2 (cost of 1 orange)

a = 2r -------- eqn 1

<em><u>Together, an orange and a banana cost 10 cents more than an apple</u></em>

cost of 1 orange + cost of 1 banana = 10 + cost of 1 apple

r + b = 10 + a --------- eqn 2

<em><u>Two oranges cost 15 cents more that a banana</u></em>

cost of 2 orange = 15 + cost of 1 banana

2r = 15 + b ----- eqn 3

<em><u>Let us solve eqn 1, eqn 2 and eqn 3</u></em>

From eqn 1 and eqn 3, substitute eqn 1 in eqn 3

a = b + 15 --- eqn 4

<em><u>Substitute eqn 4 in eqn 2</u></em>

r + b = 10 + b + 15

r = 10 + 15

<h3>r = 25</h3>

<em><u>Substitute r = 25 in eqn 3</u></em>

2(25) = 15 + b

50 - 15 = b

<h3>b = 35</h3>

<em><u>Substitute b = 35 in eqn 4</u></em>

a = 35 + 15

<h3>a = 50</h3>

Thus cost of one apple is 50 cents and cost of 1 banana is 35 cents and cost of 1 orange is 25 cents

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