Question

A charity is conducting a raffle and it sells one ticket each to 35 women and 21 men. What is the ratio of tickets sold to women to tickets sold to men?

a) 5:3
b) 7:3
c) 5:2
d) 3:7

Answer 1

The ratio of tickets sold to women to tickets sold to men in a charity raffle with 35 tickets sold to women and 21 to men is 5:3, which is option (a).

Step-by-step explanation:

The question asks for the ratio of tickets sold to women to tickets sold to men in a charity raffle. To find this ratio, we use the number of tickets sold to each group: 35 tickets were sold to women and 21 tickets were sold to men.

To simplify the ratio, we look for the greatest common divisor of these two numbers, which is 7.

Dividing both numbers by 7 gives us:

• Tickets sold to women: 35 ÷ 7 = 5
• Tickets sold to men: 21 ÷ 7 = 3

Therefore, the ratio of tickets sold to women to tickets sold to men is 5:3.

The correct answer is (a) 5:3.

Answer 2

The ratio of tickets sold to women to tickets sold to men is c) 5:2.

Explanation:

To determine the ratio of tickets sold to women to tickets sold to men, we first need to find the total number of tickets sold. The charity sells one ticket each to 35 women and 21 men, resulting in a total of 35 + 21 = 56 tickets sold.

Now, to find the ratio, we compare the number of tickets sold to women (35) with the number of tickets sold to men (21). The ratio is calculated as 35:21, and to simplify it, we divide both numbers by their greatest common factor, which is 7. This simplifies to 5:3, which is equivalent to the ratio 5:2 when expressed in its simplest form.

In summary, the correct ratio of tickets sold to women to tickets sold to men is 5:2 (Option c). This indicates that for every 5 tickets sold to women, 2 tickets are sold to men in the charity raffle. Ratios are a useful way to express relationships between quantities, and in this case, they help represent the distribution of raffle tickets between women and men.