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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
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: \( x = \frac{120}{6} = 20 \)
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