Mathematics, 24.08.2019 14:30 dianaosorio33895

If three magnums and two paddlepops cost $8.70 and the difference in price between a magnum and a paddlepop is 90 cents, how much does each type of ice cream cost?

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Answer from: lauren21bunch

Magnum = $2.10

Paddlepop = $1.20

Step-by-step explanation:

Let M represent Magnum and P represent Paddlepop, then create a system of equations using the cost as one equation and the difference in price as the other. Use the elimination method to solve for one of the variables and substitution to solve for the other.

3M + 2P = 8.70 → 1(3M + 2P = 8.70) → 3M + 2P = 8.70

M - P = 0.90 → 2(M - P = 0.90) → 2M - 2P = 1.80

5M = 10.50

M = 2.10

M - P = 0.90

2.10 - P = 0.90

-P = -1.20

P = 1.20

Answer from: Destinywall

Let the Magnum be represented by : M

Let the Paddlepop be represented by : P

Given : Three Magnums and Two Paddlepops cost $8.70

$:\implies$ 3M + 2P = 8.70 ----------- [1]

Given : Difference between a Magnum and a Paddlepop is 90 cents

As 1 Dollar is made up of 100 cents, 90 cents can be written as $0.9

$:\implies$ M - P = 0.9

Multiplying above equation with 2, We get :

$:\implies$ 2M - 2P = (2 × 0.9)

$:\implies$ 2M - 2P = 1.8 ----------- [2]

Adding Equation [1] and [2], We get :

$:\implies$ 3M + 2P + 2M - 2P = 8.70 + 1.8

$:\implies$ 5M = 10.5

$:\implies$ M = 2.1

As the Difference between a Magnum and Paddlepop is $0.9

$:\implies$ 2.1 - P = 0.9

$:\implies$ P = 2.1 - 0.9

$:\implies$ P = 1.2

Answers :

A Magnum Ice-cream costs : $2.1

A Paddlepop Ice-cream costs : $1.2

Answer from: Quest

Main idea on left, details on right

Answer from: Quest

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices $p(1,2),q(2,1),r(3,2),s(3,3)$ recall that for counterclockwise rotation about the origin, $(x,y)\rightarrow (-x,-y)$ when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become $p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)$ next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain, $p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)$ therefore the correct answer is c

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