Kristen is buying chocolate chip and oatmeal cookies from the bakery. Chocolate chip cookies cost \( 35 \notin \) each and oatmeal cookies cost \( 20 \Varangle \) each. She wants to buy a mixture of at least 90 cookies. Kristen is planning to spend less than \( \$ 10 \). Let: \( C= \) number of chocolate chip cookies she can buy \( M \) - number of oatmeal cookies she can buy Write a system of inequalities to represent this situation.
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To represent Kristen's cookie purchases with a system of inequalities, we can outline her constraints as follows: 1. The cost constraint: Buying chocolate chip cookies at \( 35 \) cents each and oatmeal cookies at \( 20 \) cents each, Kristen wants to spend less than \( \$10 \), which is \( 1000 \) cents. \[ 35C + 20M < 1000 \] 2. The quantity constraint: Kristen wants to buy at least \( 90 \) cookies in total. \[ C + M \geq 90 \] Therefore, the system of inequalities that represents Kristen’s cookie-buying scenario is: \[ \begin{cases} 35C + 20M < 1000 \\ C + M \geq 90 \end{cases} \] Now, she’s all set to choose her cookie combination within these tasty parameters!
