Numeracy 1 - ICE

Name

1. West Elementary School has 438 students and 22 full-time teachers. East Elementary School has 27 full-time teachers and 697 students.
a. Calculate the number of students per teacher at West Elementary School. (1)	b. Calculate the number of students per teacher at East Elementary School. (1)
c. Answer ONE of the questions below depending on whether or not the relationship between the number of students per teacher is proportional. (1)
If the relationship is proportional, how many students would there be in a school with 32 teachers? Show your dimensional analysis.	If the relationship is not proportional, at which school would a child get more attention and why? Explain your choice.

2. Last week, Abe's carpet store sold 160 square feet of a particular carpet for $878.40. Bob's carpet store sold 85 square feet of the same carpet for $466.65.
a. Is cost proportional to area for this carpet? Show all relevant calculations and then explain your conclusion in a full sentence. (2)
b. Answer ONE of the questions below depending on whether or not cost is proportional to area for this carpet. (1)
If cost is proportional to area, what is the cost of 118 square feet of carpet? Show your work. Use dimensional analysis.	If cost is not proportional to area, which store has the better unit price for carpet? Explain your choice.

J. Schlaak, N. Wahle 2021.This content is protected and may not be shared, uploaded or distributed.1

Numeracy 1 - ICE

3. Dimitri's car has a fuel efficiency of 21 miles per gallon. His tank is full with 12 gallons of gas. Does he have enough gas to drive from Cincinnati to Toledo, a distance of 202.4 miles? Explain. (Hint: there's too much information in this problem to use simultaneously) (2)

Show your calculations, including at least one use of dimensional analysis.You choose how to round.

4. The Orient Express train travels from London, England to Venice, Italy. A ticket for the trip costs 2.3thousandGBP (Great British pounds). Based on the current exchange rate of 1 U.S. dollar = 0.82 GBP, what is the cost inU.S. dollars?Round to the nearest whole dollar.(2)

Show your calculations, including at least one use of dimensional analysis.

J. Schlaak, N. Wahle 2021.This content is protected and may not be shared, uploaded or distributed.2

Numeracy 1 - ICE

Partial Solutions: 1a. 20 students per teacher (rounding to whole numbers makes sense...can't have a partial student)

1c. Not proportional. You still need to decide in which school a child could get more attention.

2b. Proportional. Calculate the price to the nearest cent. Your answer should be very close to $648.

He has enough gas to drive to Toledo. There are different approaches to showing this. Some people figure out how far he can go on 12 gallons of gas (which is farther than the distance to Toledo). Some people figure out how much gas he needs to drive to Toledo (which is less than the amount of gas in his tank). In either case, you will need two of the three numbers for calculations. The third number is only used for purposes of comparison to decide if he can make it to Toledo.

$2,805