Answer:
1 mango = 11 dollars
1 apple = 13 dollars
Step-by-step explanation:
Let [tex]a[/tex] be equal to the cost of an apple.
Let [tex]m[/tex] be equal to the cost of a mango.
1) Create equations
An apple costs $2.00 more than a mango.
⇒ [tex]m+2=a[/tex] (the cost of a mango + 2 dollars = cost of an apple)
The total cost of three apples and a mango is $50.00.
⇒ [tex]3a+m=50[/tex] (3 apples*the cost of 1 apple + cost of 1 mango = 50 dollars)
2) Solve for m and a
[tex]3a+m=50[/tex]
Substitute a with [tex]m+2[/tex]
[tex]3(m+2)+m=50\\3m+6+m=50\\4m+6=50[/tex]
Subtract both sides by 6
[tex]4m+6-6=50-6\\4m=44[/tex]
Divide both sides by 4
[tex]\frac{4m}{4}=\frac{44}{4} \\m=11[/tex]
Therefore, the cost of 1 mango is 11 dollars.
[tex]m+2=a[/tex]
Substitute m with 11 to solve for a
[tex]11+2=a\\13=a[/tex]
Therefore, the cost of 1 apple is 13 dollars.
I hope this helps!
