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15 September, 14:15

Francis has five more dollars than Julia. Together they have at most $45. Let x represent the amount of money Francis has. Which inequality can be used to find the possible amounts of money that Francis has?

A)

x - 5 ≤ 45

B)

2x - 5 ≤ 45

C)

2x - 5 ≥ 45

D)

2x + 5 ≤ 45

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Answers (1)
  1. 15 September, 18:07
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    We know that Julia has some dollars, but not how many. As this is an unknown amount, we put a letter there instead of the exact number. Let's call this amount x.

    Francis has five dollars more than Julia. As Julia's amount is called x, Francis' amount is x+5

    We also know that Francis and Julia together have at most 45 dollars. This gives us:

    x + (x+5) ≤ 45

    The solution is then:

    D) 2x+5 ≤ 45
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