Question

Miley made coupon books for a fundraiser. On the first day, she made 1/6 of the total number of coupon books she made for the fundraiser. On the second day, she made 48 coupon books. The number of coupon books she made on the second day is 1/5 more than the number of coupon books she made on the first day. How many total coupon books did Miley make for the fundraiser?

Answer 1

Answer:

Step-by-step explanation:

Let x be the number of books she made in total

On  first day she made 1/6 x books

On second day she made 48 books.

The number of books she made on second day is 1/5 more than she made on first day so - so she made  48 / 6/5 = 40 on first day

Answer 2

Answer:  There are 287 coupon books that Miley make for the fundraiser.

Step-by-step explanation:

Let the total number of coupon books she made for the fundraiser be 'x'.

On first day, the number of coupon would be $\dfrac{1}{6}x$

On second day, the number of coupon was $\dfrac{1}{6}x+\dfrac{1}{5}$

Since we have given that

Number of coupon books on second day = 48

According to question, it becomes,

$\dfrac{1}{6}x+\dfrac{1}{5}=48\\\\\dfrac{x}{6}=48-\dfrac{1}{5}\\\\\dfrac{x}{6}=\dfrac{240-1}{5}\\\\\dfrac{x}{6}=\dfrac{239}{5}\\\\x=\dfrac{239\times 6}{5}\\\\x=\dfrac{1434}{5}\\\\x=286.8\\\\x\approx 287$

Hence, there are 287 coupon books that Miley make for the fundraiser.