i need help with this word problem please

Algebra
Tutor: None Selected Time limit: 1 Day

at a bakery, three pastry chefs are icing cupcakes for a large gala event. The first chef can ice 7 cupcakes in 5 minutes. The second chef can ice 18 cupcakes in 1/3 of an hour . The third chef ices one cupcake every 50 seconds. How long would it take The three chefs, working together, to ice 500 cupcakes? please round to the nearest second.

Oct 18th, 2015

Hello!

Let's compute speeds in cupcakes/minute: 7/5, 18/20 and 1/[5/6].
(1/3 of an hour is 20 minutes, 50 seconds is 50/60=5/6 of a minute)

The sum of the speeds is

7/5 + 9/10 + 6/5 = 14/10 + 9/10 + 12/10 = 35/10 = 3.5 (cupcakes/min).

So the time for all three together is

500/3.5 = 100/0.7 = 1000/7 = 142 and 6/7 (minutes), or

142 minutes and (360/7) seconds =approx. 142 minutes and 51 seconds.

Please ask if something is unclear.
Oct 18th, 2015

thank you


Oct 18th, 2015

The fuel efficiency rating for a certain car is 28 miles per gallon on the highway and 21 miles per gallon in the city. During one week the car traveled a total of 10.5 gallons of fuel.

a) please set up an equation(s) that would model the situation.(be sure to identify variables.)

b) how much fuel was used for highway driving? (round your answer to the nearest tenth of a gallon.)

c) how many miles where driven on the highway?( round your answer to the nearest tenth of a mile.)

Oct 18th, 2015

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