Mathematics, 25.02.2020 04:52 Frenchfries13

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.

Answers: 3

Show answers

Answers

Answer from: akatian55721

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: link

Answer from: kolbehoneyman

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

Answer from: Quest

Cwill be your correct answer
Asap 30 points the amount of money sheryl makes in a day is directly proportional to the amount of h

Answer from: Quest

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

$a=9\times 12=108\text {ft^2}$

so the area of the floor is 108 square feet, converting that into square yards we get,

$108 \times 0.1111= 12 \text{yd^2}$

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

$\$15 \times 12=\$180$

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

$a = 12 \times 15=180\text {ft}^2$

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

$180 \times 0.111=20 \text {yd}^2$

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

$\$15 \times 20= \$300$

so, it will cost $300.

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