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3 years ago

Lucy is raising money for a school trip by selling lollipops and bags of

Mathematics

1 answer:

sukhopar [10]3 years ago

7 0

<h3>16 lollipops and 9 bags of chips are sold</h3>

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

Let "x" be the number of lollipops sold

Let "y" be the number of bags of chips sold

Cost of 1 lollipop = $ 1.50

Cost of 1 bag of chip = $ 1.75

<em><u>Yesterday Lucy made $39.75 from selling a total of 25 lollipops and bags of chips</u></em>

Therefore,

x + y = 25

y = 25 - x -------- eqn 1

<em><u>Yesterday Lucy made $39.75</u></em>

Therefore,

number of lollipops sold x Cost of 1 lollipop + number of bags of chips sold x Cost of 1 bag of chip = 39.75

$x \times 1.50 + y \times 1.75 = 39.75$

1.5x + 1.75y = 39.75 -------- eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

1.5x + 1.75(25 - x) = 39.75

1.5x + 43.75 - 1.75x = 39.75

0.25x = 4

<em><u>Substitute x = 16 in eqn 1</u></em>

y = 25 - 16

Thus 16 lollipops and 9 bags of chips are sold

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3 years ago

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<em>See above information</em>

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