Hailey, Megan, and Bailey have saved $458 for a summer trip to the beach. Hailey has saved $167. Megan has saved at least $152, but no greater than $164. Which inequality represents the dollar amount (x) that Bailey has saved?

Question

Mathematics

Izaiah Choi

Today, 13:41

Hailey, Megan, and Bailey have saved $458 for a summer trip to the beach. Hailey has saved $167. Megan has saved at least $152, but no greater than $164. Which inequality represents the dollar amount (x) that Bailey has saved?

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Answers (1)

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Gabriel Burke · Answer 1

Let H = Hailey, M = Megan, B = Bailey

H + M + B = 458

167 + M + B = 458

M + B = 291

152 ≤ M ≤ 164

If M = 152, B = 139

If M = 164, B = 127

Thus,

$127 ≤ B ≤ 139