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 th
Question
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
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2022-02-12T04:34:56+00:00
2022-02-12T04:34:56+00:00 2 Answers
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Answer:
its B
Step-by-step explanation:
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.