# SAT Math: Which System of Equations Represents Kyle's Workout?

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?

Heart of Algebra | Systems of linear equations in two variables (word problems) |

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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