Question

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

Answer 1

16 lollipops and 9 bags of chips are sold

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

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

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

x = 16

Substitute x = 16 in eqn 1

y = 25 - 16

y = 9

Thus 16 lollipops and 9 bags of chips are sold