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while on vacation, Erika bought 6 postcards, which was twice as many postcards as Nathan bought. Samantha bought 4 times as many postcards as Nathan. how many postcards did Samantha buy?

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gustanika
Write a system of equation based on the problem
⇒ Erika bought 6 postcards
    E = 6
⇒ Erika bought twice as many postcards as Nathan bought
    E = 2N
    2N = E
⇒ Samantha bought 4 times as many postcards as Nathan
    S = 4N

Before we find the number of Samantha's postcards, we need to find the number of Nathan's postcard. Substitute E with 6 in the second equation.
2N = E
2N = 6
  N = 6/2
  N = 3
Nathan bought 3 postcards

Find the number of Samantha's postcard
Substitute N with the number of Nathan's postcards, which is 3, in the third equation
S = 4N
S = 4 × 3
S = 12
Samantha bought 12 postcards

The number of postcards Samantha bought is 12.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Erika bought 6 postcards

Let the number of postcards Erika bought is given by x

Erika bought twice as many postcards as Nathan bought

Let the number of postcards Nathan bought is given by y

x = 2y

Samantha bought 4 times as many postcards as Nathan

Let the number of postcards Samantha bought is given by z

z = 4y

The value of x = 6, so

6 = 2y

y = 3

z = 4y

z = 12

Postcards bought by Samantha is 12.

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