Question

The total number of blue marbles is 6 times that of red marbles. If the total marbles are 280, find the total number of blue and red marbles

Answer 1

Answer:

• Total number of red marbles = 40
• Total number of blue marbles = 240

Step-by-step explanation:

Given that:

• The total number of blue marbles is 6 times that of red marbles.
• Let the number of red marbles be x.
• Number of blue marbles = 6x
• The total marbles are 280.

To Find:

• The total number of blue and red marbles.

According to the question:

Sum of number of blue and red marbles = Total number of marbles

→ 6x + x = 280

→ 7x = 280

→ x = 280/7

→ x = 40

Now, we get:

• Number of red marbles = x = 40
• Number of blue marbles = 6x = 6 × 40 = 240

Answer 2

⧠ Let the number of red marbles be x and number of blue marbles be 6x.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀

$\bigstar\:\boldsymbol{According\;to\;the\;question}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf{6x+x=280}\\\\:\implies\sf{7x=280}\\\\:\implies\sf{x={\cancel{\dfrac{280}{7}}}}\\\\:\implies{\underline{\boxed{\pink{\frak{x=40}}}}}{\;\bigstar}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Number of red marbles = x = 40
• Number of blue marbles = 6x = 6 × 40 = 240