SAT Math: Which System of Equations Represents Kyle's Workout?
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Kyle is working out at his local gym. He burns 150 calories for every 10 minutes he runs on the treadmill and 10 calories for every minute he uses a jump rope. He burns 430 calories over 37 minutes of working out. If r represents the amount of time he runs on the treadmill and j is the amount of time he jumps rope, both measured in minutes, which of the following systems of equations accurately represents Kyle's workout?
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Transcript
ten calories For every minute he uses a jump rope
He burns four hundred thirty calories over thirty seven minutes
of working out If our represents the amount of time
he runs on the treadmill and j is the amount
of time he jumps rope both measured in minutes Here's
they're giving us the standard unit there which of the
following systems of equations accurately represents kyle's workout We're going
to need two equations to solve this pumped up problem
one for each arm The only units we have our
calories in minutes so start by making an equation about
calories The problem states kyle burns hundred fifth galleries for
every ten minutes he runs So he burns ah hundred
fifty divided by ten or fifteen calories a minute there
while running If he burns ten calories a minute jumping
rope and four hundred thirty calories in total Well then
we got everything we need for a toned and sculpted
body of an equation That's fifteen are plus ten j
is for thirty right there That's it The other equation
deals with time We'll kyle runs for our minutes and
jumps for j minutes Kyle is motivated for a solid
thirty seven minutes so our plus j is thirty seven
That's it you got two equations Fifteen are plus ten
jay's for thirty and our plus jay's thirty seven it's
be good work I'll make sure you wipe down the
calculators you use You know when you're done with them 00:01:31.934 --> [endTime] we don't want to share your sweat