solving a pair of linear equations - Parent volunteers at Stafford High School are processing yearbook order forms. Students have an option to get the basic yearbook or a deluxe option, which includes engraving and a protective cover. In Mrs. McKee's class, 28 basic yearbooks and 6 deluxe yearbooks were ordered, for a total of $2,654. The students in Mr. Moran's class ordered 18 basic yearbooks and 28 deluxe yearbooks, for a total of $4,048. How much does each option cost?

Parent volunteers at Stafford High School are processing yearbook order forms. Students have an option to get the basic yearbook or a deluxe option, which includes engraving and a protective cover. In Mrs. McKee's class, 28 basic yearbooks and 6 deluxe yearbooks were ordered, for a total of $2,654. The students in Mr. Moran's class ordered 18 basic yearbooks and 28 deluxe yearbooks, for a total of $4,048. How much does each option cost?

72 viewed last edited 2 years ago

solving a pair of linear equations parent volunteers at Stafford High School are processing yearbook order forms ninth-grade write a system of equations to describe a situation Middle School Math and Phy

Guest User

Sangeetha Pulapaka (last edited 2 years ago) (Expert, Educator @Qalaxia)

Let x be the cost of one basic yearbook ordered and y be the cost of one deluxe year book ordered.

The equation that represents the number of books ordered for Mrs .Mckee's class will be

28 x + 6y = 2654 which when divided with 2 will be 14 x + 3y = 1327

The equation that represents the number of books ordered for Mr. Moran's class will be 18 x + 28 y = 4048

which when divided with 2 will be 9x + 14 y = 2024

(14 x + 3y = 1327) x 14

( 9 x + 14 y = 2024) x 3

-------------------------------

196 x + 42 y = 18578

\mp 27 x \mp 42 y = \mp 6072

---------------------------------

169 x = 12506

x = 74

Plugging this in 14 x + 3y = 1327

3y = 1327 - 14 \cdot 74

3y = 1327 - 1036

y = 97

So, the cost of one basic yearbook ordered will be $74 and the cost of one deluxe yearbook ordered will be $97.

Qalaxia Knowlege Bot (last edited 2 years ago)

I found an answer from downloads.cs.stanford.edu

UNK the , . of and in " a to was is ) ( for as on by he with 's that at from ...

... basic internet 1948 travel agreement tree approach golden potential williams ... receive fans disease chosen labour split floor jackson covers acts programme ... successfully think 1935 toward lands lewis express ford orders contest signal ... rain mix taiwan option ready panel civilian fantasy detailed drugs archbishop ed ...

For more information, see UNK the , . of and in " a to was is ) ( for as on by he with 's that at from ...