Respuesta :
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
[tex]x \times 1.50 + y \times 1.75 = 39.75[/tex]
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
The number of chips sold is 9. The number of lollipop sold is 16.
System of equations
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
Determining the number of chips bought
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
Determining the number of lollipop bought
Substitute for y in equation 2
9 + x = 25
x = 25 - 9
x = 16
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
