Question

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?

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