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.One location of The Smart Growing Preschool has 22 children in the primary class and 18 children in the toddler class. The other location has 30 children in the primary class and 15 children in the toddler class. The revenue at the first location is $24,250, and the revenue at the second location is $27,150. How much do parents pay for a primary child and a toddler child every month?

A.$595 for a primary child and $620 for a toddler child.
B.989 for a primary child and $1,558 for a toddler child.
C.1,353 for a primary child and $307 for a toddler child.

Respuesta :

nobillionaireNobley
Let the amount paid for a a primary child be x and that of a toddler be y, then
22x + 18y = 24250 . . . (1)
30x + 15y = 27150 . . . (2)

solving the simultaneous linear equations gives that x = 595 and y = 620

Therefore, parents pay $595 for a primary child and $620 for a toddler child.

Answer:

Parents pay for primary childrens be $595 and  parents pay for toddler childrens be $ 620 .

Option (A) is correct .

Step-by-step explanation:

Let us assume that the parents pay for primary childrens be x .

Let us assume that the parents pay for toddler childrens be y .

As given

.One location of The Smart Growing Preschool has 22 children in the primary class and 18 children in the toddler class.

The revenue at the first location is $24,250 .

Than the equation becomes

22x + 18y = 24250

As given

The other location has 30 children in the primary class and 15 children in the toddler class.

The revenue at the second location is $27150.

Than the equation becomes

30x + 15y = 27150

Than two equations are

22x + 18y = 24250

30x + 15y = 27150

Multiply 22x + 18y = 24250 by 15 .

15 × (22x + 18y = 24250)

15 × 22x + 15 × 18y = 15 × 24250

330x + 270y = 363750

Multiply 30x + 15y = 27150 by 18 .

18 × ( 30x + 15y = 27150 )

18 × 30x + 18 × 15y = 18 × 27150

540x + 270y = 488700

Now subtracted  330x + 270y = 363750 from 540x + 270y = 488700 .

540x - 330x + 270y - 270y = 488700 - 363750

210x = 124950

[tex]x = \frac{124950}{210}[/tex]

x = $ 595

Putting in the equation

22x + 18y = 24250

22 × 595 + 18y = 24250

13090 + 18y = 24250

18y = 24250 - 13090

18y = 11160

[tex]y = \frac{11160}{18}[/tex]

y = $ 620

Therefore the parents pay for primary childrens be $595 and  parents pay for toddler childrens be $ 620 .

Option (A) is correct .