Answer:
Part 1) The price of each dozen of oranges is R$3.00 and the price of each dozen of bananas is R$4.00
Part 2) [tex]R\$24.00[/tex]
Step-by-step explanation:
The complete question in English is
3 ladies went to the fair. Ms. Nice spent R$25.00 on 3 dozen oranges and 4 dozen bananas, Ms. Maria bought 4 dozen oranges and 3 dozen bananas, and Ms Neusa spent R$20.00 on 5 dozen bananas.
Part 1) Find the price of each dozen of bananas and each dozen of oranges
Part 2) How much did Mrs. Maria spend?
Part 1) Find the price of each dozen of bananas and each dozen of oranges
Let
x ----> the price of each dozen of oranges
y ----> the price of each dozen of bananas
we know that
Ms. Nice
[tex]3x+4y=25[/tex] ----> equation A
Ms. Maria
[tex]4x+3y[/tex]
Ms. Neusa
[tex]5y=20[/tex] ----> equation B
step 1
Find the value of y
Solve equation B
[tex]5y=20[/tex]
Divide by 5 both sides
[tex]y=R\$4.00[/tex]
step 2
Substitute the value of y in the equation A
[tex]3x+4(4.00)=25[/tex]
solve for x
[tex]3x+16.00=25[/tex]
subtract 16 both sides
[tex]3x=25-16.00\\3x=9.00[/tex]
divide by 3 both sides
[tex]x=R\$3.00[/tex]
therefore
The price of each dozen of oranges is R$3.00 and the price of each dozen of bananas is R$4.00
Part 2) How much did Mrs. Maria spend?
we know that
Ms. Maria
[tex]4x+3y[/tex]
substitute the value of x and the value of y in the expression above
[tex]4(3.00)+3(4.00)=R\$24.00[/tex]
