Question

Amelia wanted to redeem a voucher. She had only of the total number
of points needed. After she earned another 50 points, she still needed
of the total number of points. How many points did Amelia need to
redeem the voucher?
3
10​

Answer 1

Correct Question :- Amelia wanted to redeem a voucher. She had only 3/5 of the total number of points needed. After she earned another 50 points, she still needed 3/10 of the total number of points. How many points did Amelia need to redeem the voucher ?

Solution :-

Let us assume that, total points needed to get the voucher is x .

Given that, She had only 3/5 of the total number of points needed.

So,

→ Points she had = (3/5) of x = (3x/5) .

Now, she earned another 50 points .

So,

→ Total points she has after that = [(3x/5) + 50]

Now, it has been said that, she still needed 3/10 of the total number of points to redeem the voucher..

So,

→ Points she needed now = (3/10) of x = (3x/10) .

A/q,

→ [(3x/5) + 50] + (3x/10) = x

→ [(3x + 250)/5] + (3x/10) = x

→ [2(3x + 250) + 3x] / 10 = x

→ 6x + 500 + 3x = 10x

→ 9x + 500 = 10x

→ 10x - 9x = 500

→ x = 500 .

Therefore,

→ Points Amelia needed now to redeem the voucher = (3/10) of 500 = (3 * 500)/10 = 150 Points (Ans.)

Hence, Amelia needed 150 points to redeem the voucher .

Answer 2

Answer:1-3/5 = 5/5-3/5= 2/5

2/5-3/10 = 4/10-3/10=1/10

Total paint = 50:1/10= 50x10/1=500

Step-by-step explanation: sorry if wrong