Question

the total number of bananas and oranges in a basket is 70.if the number of oranges is 10 more than five times that bananas.find the number of bananas and oranges in the basket?​

Answer 1

Answer:

The Number of oranges are 10 and Bananas are 60.

Step-by-step explanation:

Given :

Total fruits = 70

Oranges = 10 more than five times that bananas

To find :

The number of Bananas and oranges

Solution :

Let the number of -

• Bananas as y
• Oranges as 10 + 5y

⇒ 10 + 5y + y = 70

⇒ 10 + 6y = 70

⇒ 6y = 70 - 10

⇒ 6y = 60

⇒ y = 60/6

⇒ y = 10

Oranges = 10

$\rule{300}{1.5}$

★ Value of 10 + (5y)

⇒ 10 + 5(10)

⇒ 10 + 50

⇒ 60

Bananas = 60

$\therefore$ The Number of oranges are 10 and Bananas are 60.

Answer 2

$\huge\star{\tt{\underline{\underline{\red{Answer}}}}}\star$

$\bold{\red{bananas}}$ + $\bold{\orange{Oranges}}$ = 70

Let Bananas be y and Oranges be x

So by the Given information

We can Conclude that

x + y = 70 _______[1]

and

y=5x + 10_______[2]

To find x and y

From [1]

x=70-y _______[3]

Now we can put the value of x in [2]

y= 5 (70 - y) + 10

y= 350 - 5y + 10

y + 5y = 360

6y = 360

$\implies$ y= $\large\bold{\frac{360}{6}}$

$\implies$ $\huge{\boxed{\boxed{y=60}}}$

$\implies$ From [3]

$\implies$ x=70 - 60

$\implies$ $\huge{\boxed{\boxed{x=10}}}$

$\bold{\red{bananas}}$ = y = 60

$\bold{\orange{Oranges}}$ = x = 10