A clothing shop sold a combined total of 714 clothes and shoes on Monday. There were 64 more shoes sold than clothes.

Question

I need to know how many clothes were sold on Monday.

Answer 1

Hi Nanya,

Let's use the variable c represent the NUMBER of clothes sold.

Then since there were 64 more shoes sold than clothes, we can write the following expression to represent the NUMBER of shoes: c + 64

Since the total for both was 714, we can write and solve the following equation to determine the number of clothes sold:

Clothes + shoes = 714

c + c + 64 = 714

Now combine like terms and use inverse operations to determine the number of clothes:

c + c + 64 = 714

2c + 64 = 714

2c + 64 - 64 = 714 - 64

2c = 650

2c/2 = 650/2

c = 325

There were 325 clothes sold on Monday.

The number of shoes would be 714 - 325 = 389 shoes (pairs of shoes I assume)

Hope this helps Nanya. Let me know if you have more questions or would like to schedule a lesson (online if you prefer).

Take care.