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Anvisha [2.4K]
3 years ago
15

toni can carry up to 20lbs in her backpack. her lunch weighs 0.75lbs, her gym clothes weigh 2.3lbs,and her books b weigh 3.4lbs

each. write an inequality to model the situation.
Mathematics
1 answer:
Oxana [17]3 years ago
8 0

let her lunch = l, her gym clothes = g, her books = x

20 pounds is the amount she can carry

her lunch (1) weighs 0.75 lbs

her clothes (1) weighs 2.3 lbs

her books (x) = 3.4 lbs

Set the inequality

3.4x + 2.3 + 0.75 ≤ 20

Simplify

3.4x + 3.05 ≤ 20

3.4x + 3.05 (-3.05)  ≤ 20 (-3.05)

3.4x ≤ 16.95

3.4x/3.4 ≤ 16.95/3.4

x ≤ 4.99 (rounded)

x ≤ 4.99 can be one of your inequalities.

her books can weigh up to 4.99 pounds before her backpack breaks

hope this helps

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