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MATH / At a certain amusement park, there is a bulk discount for tickets. If you buy up…

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problem

At a certain amusement park, there is a bulk discount for tickets. If you buy up to 60 tickets in one order, the price for each ticket is

\$70

. However if you buy more than 60 tickets in a single order, the price of every ticket is reduced by

\$1

for each additional ticket bought. If

t

is the number of tickets bought in bulk at one time, what is the largest

t

which will bring the amusement park a profit greater than

\$4200

Plain-text mathematical notation (without MathML)

At a certain amusement park, there is a bulk discount for tickets. If you buy up to 60 tickets in one order, the price for each ticket is $70. However if you buy more than 60 tickets in a single order, the price of every ticket is reduced by $1 for each additional ticket bought. If t is the number of tickets bought in bulk at one time, what is the largest t which will bring the amusement park a profit greater than $4200?

Original LaTeX notation

At a certain amusement park, there is a bulk discount for tickets. If you buy up to 60 tickets in one order, the price for each ticket is $\$70$. However if you buy more than 60 tickets in a single order, the price of every ticket is reduced by $\$1$ for each additional ticket bought. If $t$ is the number of tickets bought in bulk at one time, what is the largest $t$ which will bring the amusement park a profit greater than $\$4200$?

level

Level 5

type

Algebra

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task_id: 828cc6c4-576c-5d33-bd2b-7bfd1242b45d
task_key: algebra--test--828cc6c4-576c-5d33-bd2b-7bfd1242b45d
task_revision_id: 2
config / split: algebra / test

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