Mathematics: the admission charge for a family at a museum is $7.50 for the first person and $4.25 for each additional member of the family. how many people are in a family if the total charge was 28.75?

the admission charge for a family at a museum is

nicayakhalia

02.09.2021

7.50 + 4.25x = 28.75

subtract 7.50 from both sides

4.25x = 21.25

divide each side by 4.25

x = 5

there are 5 people in the family

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ana5246

30.03.2022

the difference of two squares is a special form that has a factorization worth memorizing.

a² - b² = (a - b)(a + b)

your equation can be factored as

x² - 16 = 0

(x - 4)(x + 4) = 0

the zero product rule tells you the solutions are the values of x that make these factors zero: x=4, x=-4.

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