Lucy is raising money for a school trip by selling lollipops and bags of
chips. The price of each lollipop is $1.50 and the price of each bag of
chips is $1.75. Yesterday Lucy made $39.75 from selling a total of 25
lollipops and bags of chips. Determine the number of lollipops sold
and the number of bags of chips sold.

The number of chips sold is 9. The number of lollipop sold is 16.

Two equations can be derived from the question:

$1.50x + $1.75y = $39.75 equation 1

x + y = 25 equation 2

Where:

x = number of lollipops sold

y = number of chips sold

In order to determine the value of y, take the following steps:

Multiply equation 2 by 1.50

1.50x + 1.50y = 37.50 equation 3

Subtract equation 3 from equation 1

2.25 = 0.25y

Divide both sides by 0.25

y = 9

Substitute for y in equation 2

9 + x = 25

x = 25 - 9

x = 16

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Solution:

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

Yesterday Lucy made $39.75 from selling a total of 25  lollipops and bags of chips

Therefore,

x + y = 25

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

Yesterday Lucy made $39.75

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

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

Substitute eqn 1 in eqn 2

1.5x + 1.75(25 - x) = 39.75

1.5x + 43.75 - 1.75x = 39.75

0.25x = 4

Substitute x = 16 in eqn 1

y = 25 - 16

Thus 16 lollipops and 9 bags of chips are sold

step-by-step explanation:

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