Question

i can solve real-world equations. 6.9a, 6.9c

1. micah and his brother found some cash at a bus stop. they split the money evenly, each getting $16. how much money did they find?

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1. a large box of cereal costs $3.50. how many boxes can you purchase with $28.00?

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1. jada swam 200 meters more than molly. jada swam a total of 800 meters. how many meters did molly swim?

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1. a recipe calls for 2.5 cups of sugar. you have already added 0.75 cups. how many more cups of sugar do you need to add?

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1. jefferson high school has an enrollment of 1,864 students. in may, 564 students will graduate. how many students will be enrolled after graduation?

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1. mrs. turner baked 120 cookies. she decided to give \\(\frac{1}{5}\\) of them to her students. how many cookies did she take to her students?

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Explanation:

Problem 14

Step1: Define total money as \( x \)

Split evenly: \( \frac{x}{2} = 16 \)

Step2: Solve for \( x \)

\( x = 16 \times 2 = 32 \)

Problem 15

Step1: Define boxes as \( n \)

Cost per box: \( 3.50n = 28.00 \)

Step2: Solve for \( n \)

\( n = \frac{28.00}{3.50} = 8 \)

Problem 16

Step1: Define Molly's meters as \( m \)

Jada's distance: \( m + 200 = 800 \)

Step2: Solve for \( m \)

\( m = 800 - 200 = 600 \)

Problem 17

Step1: Define needed cups as \( c \)

Total sugar: \( 0.75 + c = 2.5 \)

Step2: Solve for \( c \)

\( c = 2.5 - 0.75 = 1.75 \)

Problem 18

Step1: Define remaining students as \( s \)

Enrollment after graduation: \( 1864 - 564 = s \)

Step2: Calculate \( s \)

\( s = 1864 - 564 = 1300 \)

Problem 19

Step1: Define cookies given as \( k \)

Fraction of cookies: \( k = 120 \times \frac{1}{6} \)

Step2: Calculate \( k \)

\( k = 20 \)

Answer:

1. Equation: \( \frac{x}{2}=16 \); Answer: 32
2. Equation: \( 3.50n=28.00 \); Answer: 8
3. Equation: \( m+200=800 \); Answer: 600
4. Equation: \( 0.75+c=2.5 \); Answer: 1.75
5. Equation: \( 1864-564=s \); Answer: 1300
6. Equation: \( k=120\times\frac{1}{6} \); Answer: 20