Three sisters each have a collection of high-heel shoes. Helen has 10 more pairs of shoes than Betty. Natalie has three times as many pairs of shoes as Helen. How many pairs of high-heel shoes does each sister have if together they have a total of 65 pairs?

Betty has 5 shoes, Helen has 15 shoes, and Natalie has 45 shoes.

Step-by-step explanation:

we can first try to solve this by assigning the sisters different number of shoes. lets give betty 0 shoes, Helen 10 shoes, and Natalie 30 shoes. this does follow the equation, however it does not equal 65.

what if we gave betty 5 shoes, Helen 15 shoes, and Natalie 45 shoes. This does follow the equation, because Helen has 10 more shoes than betty, and Natalie has 3 times more shoes than Helen. 5+15+45=65, So we have our answer!