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Writing systems of equations

Quiz by Kyle Howe

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4 questions
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  • Q1
    John buys p pounds of potatoes at $0.50 per pound and c carrots at $0.30 each. He spends a total of $12 on potatoes and carrots. Which system of equations represents this situation?
    $0.3p + 0.5c = 12
    $0.5p - 0.3c = 12
    $0.5p + 0.3c = 0.12
    $0.5p + 0.3c = 12
    30s
  • Q2
    A school is ordering uniforms. Each shirt costs $15 and each pair of pants costs $20. The school needs to order a total of 100 uniforms and has a budget of $1800. If s represents the number of shirts and p represents the number of pants, which system of equations accurately represents this situation?
    $15s + $20p = $1800, 2s + 2p = 200
    $20s + $15p = $1800, p + s = 100
    $15s + $20p = $1800, s + p = 100
    $15s - $20p = $1800, s - p = 100
    30s
  • Q3
    A company decides to produce two types of chairs: standard chairs and deluxe chairs. Each standard chair requires 2 hours of labor and $20 in materials, while each deluxe chair requires 3 hours of labor and $30 in materials. The company has a budget of $600 for materials and 120 labor hours available. If $s$ represents the number of standard chairs and $d$ represents the number of deluxe chairs, which system of equations best represents this scenario?
    $2s + 3d = 600, $20s + $30d = 120
    $3s + 2d = 120, $30s + $20d = $600
    $2s - 3d = 120, $20s - $30d = $600
    $2s + 3d = 120, $20s + $30d = $600
    30s
  • Q4
    A landscaper is preparing a quote for a client who wants to plant trees and bushes in their garden. Each tree costs $23 and each bush costs $14. The client has a budget of $1000 and wants a total of 50 plants. If $t$ represents the number of trees and $b$ represents the number of bushes, which system of equations could be used to determine how many of each type of plant the client can afford?
    $23t + $14b = $50, t + b = $1000
    $14t + $23b = $1000, t + b = 100
    $23t - $14b = $1000, t - b = 50
    $23t + $14b = $1000, t + b = 50
    30s

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