Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the problems by using equations. then check the answers. chocolat…

Question

solve the problems by using equations. then check the answers. chocolate chip cookies are sold in boxes of 6 and plain cookies are sold in boxes of 8. if nancy buys 3 boxes of plain cookies and a few boxes of chocolate chip cookies to have 144 cookies in total, how many boxes of chocolate chip cookies does she buy? check

Explanation:

Step1: Define variable

Let \( x \) be the number of boxes of chocolate chip cookies.

Step2: Calculate plain cookies

Plain cookies per box: 8, boxes: 3. So plain cookies: \( 8\times3 = 24 \)

Step3: Calculate chocolate chip cookies

Chocolate chip per box: 6, boxes: \( x \). So chocolate chip cookies: \( 6x \)

Step4: Set up equation

Total cookies: plain + chocolate = 144. So \( 24 + 6x = 144 \)

Step5: Solve for \( x \)

Subtract 24: \( 6x = 144 - 24 = 120 \)
Divide by 6: \( x = \frac{120}{6} = 20 \)

Answer:

20