Renaldo has six times as many oranges as mangoes. He has 49 pieces of fruit in all. Let r represent the number of oranges and m represent the number of mangoes. How many of each fruit does Renaldo have? Use the table to answer the question. 4 mangoes and 45 oranges 7 mangoes and 42 oranges 8 mangoes and 41 oranges 9 mangoes and 40 oranges

Respuesta :

Answer:

He have 42 oranges and 7 mangoes.

The correct answer is 7 mangoes and 42 oranges.

Step-by-step explanation:

Given:

Renaldo has six times as many oranges as mangoes. He has 49 pieces of fruit in all. Let r represent the number of oranges and m represent the number of mangoes.

Now to find the number of each fruit Renaldo have.

As, given:

Let [tex]r[/tex] represent the number of oranges and [tex]m[/tex] represent the number of mangoes.

So, as he has six times as many oranges as mangoes.

Thus,

[tex]r=6m[/tex]     ..........( 1 )

Total number of fruits = 49.

According to question:

[tex]m+r=49[/tex]

Substituting the value of [tex]r[/tex] from equation (1) we get:

[tex]m+6m=49[/tex]

[tex]7m=49[/tex]

Dividing both sides by 7 we get:

[tex]m=7.[/tex]

Number of mangoes = 7.

Now, to get the number of oranges we put the value of [tex]m[/tex] in equation (1):

[tex]r=6m[/tex]

[tex]r=6\times 7[/tex]

[tex]r=42.[/tex]

The number of oranges = 42.

Therefore, he have 42 oranges and 7 mangoes.

The correct answer is 7 mangoes and 42 oranges.

Answer:

its B

Step-by-step explanation: