Question

Tori chang and kai chang sell cookies for Girl Scouts. Over the past 6 months they sold 110 boxes of cookies. Kai sold 4 times as many boxes of cookies as tori. How many boxes of cookies did each sell?

Answer 1

Tori = 22 Kai = 88

Explanation:

Take 110 and divide by 5. Tori sold one unit, kai sold 4. Five total. 110/5 is Tori's total. Multiply by 4 to get kai's

Answer 2

For this case, we propose a system of two equations with two unknowns.

Let:

x: The variable that represents the number of biscuit boxes sold by Tori Chang

y: The variable that represents the number of biscuit boxes sold by Kai Chang

Between the two they sold 110 boxes of cookies:

`x + y = 110`

If Kai sold 4 times more boxes of cookies than Tori we have:

`y = 4x`

We substitute the second equation in the first:

`x + 4x = 110\\5x = 110\\x = \frac {110} {5}\\x = 22`

Then, Tori Chang sold 22 boxes of cookies.

`y = 4x\\y = 4 * 22\\y = 88`

Kai Chang sold 88 boxes of cookies.

Answer:

Tori Chang: 22 Boxes

Kai Chang: 88 boxes