16 – 5B M

ULTI S

TEP

REAL

WORLD

PROBLE

MS

PASHA WORKS AS A FOOD SCIENTIST. HE DESIGNED A RECIPE FOR CRACKERS THAT ARE 55% WHEAT FLOUR BY WEIGHT. HE MADE A TEST BATCH OF THE CRACKERS FROM 1 ½ TOTAL POUNDS OF INGREDIENTS. WHAT WEIGHT OF WHEAT FLOUR DID PASHA USE IN THE TEST BATCH?

LOIS MADE A DISH WITH 3 1/3 CUPS OF PASTA. ONE SERVING OF THE PASTA IS 0.4 CUPS. HOW MANY SERVINGS OF PASTA WERE IN THE DISH LOIS MADE?

First, convert the amounts of pasta to improper fractions to simplify the calculation.

Then, divide the amount of pasta in the dish by the amount of pasta in one serving to find the number of servings in the dish.

10/3 divided by 2/5 =

10 x 5 = 3 2

51

25 3

= 8 1/3 servings in the dish

JIMMY IS WRITING A PAPER FOR ONE OF HIS CLASSES. THE PAPER HAS TO BE 3,000 WORDS LONG, AND SO FAR HE HAS WRITTEN 774 WORDS. IF HE ONLY HAS 6 MORE DAYS TO WRITE HIS PAPER AND WANTS TO WRITE THE SAME NUMBER OF WORDS EACH DAY, THEN HOW MANY WORDS MUST HE WRITE PER DAY TO FINISH THE PAPER?

First, find out how many words still need to be written by subtracting the number of words Jimmy has written from the number of words he needs to write.

Next, divide this number by the number of days remaining to find the number of words he needs to write each day.

THE TEMPERATURE OUTSIDE CHANGED FROM 83°F TO 48°F OVER A PERIOD OF SEVEN DAYS. IF THE TEMPERATURE CHANGED BY THE SAME AMOUNT EACH DAY, WHAT WAS THE DAILY TEMPERATURE CHANGE?

First, find the change in temperature over the 7-day period

Then, divide the change in temperature by the number of days.

HARRIET HAS 5 CRATES OF WATERMELONS. EACH CRATE ALONE WEIGHS 18.3 POUNDS AND CONTAINS BETWEEN 33 AND 37 WATERMELONS. THE WEIGHT OF EACH WATERMELON IS BETWEEN 3.9 AND 4.3 POUNDS. HARRIET ESTIMATES THE TOTAL WEIGHT OF ALL 5 CRATES TO BE 844 POUNDS. IS THIS A REASONABLE ESTIMATE?

Use estimation to determine a reasonable estimate. If each crate contained 33 watermelons and each watermelon weighed 3.9 pounds, the estimated weight of the crates is shown below

If each crate contained 37 watermelons and each watermelon weighed 4.3 pounds, the estimated weight of the crates is shown below.

So, a reasonable estimate of the area of the windows would be between 735lbs. and 887lbs.

BARRY'S HOUSE HAS 4 WINDOWS THAT HE IS PLANNING TO REPLACE TO IMPROVE ENERGY EFFICIENCY. THE WIDTH OF EACH WINDOW IS BETWEEN 3.2 AND 3.6 FT, AND THE LENGTH OF EACH WINDOW IS BETWEEN 3.7 AND 4.1 FT. BARRY ESTIMATES THE AREA OF ALL 4 WINDOWS TO BE 61 SQ FT. IS THIS A REASONABLE ESTIMATE?

So, a reasonable estimate of the area of the windows would be between 47.36 sq ft and 59.04 sq ft.

A RECTANGULAR CAKE HAS A LENGTH OF 13 1/2 INCHES AND A WIDTH OF 9 INCHES. HOW MANY WHOLE, SQUARE PIECES OF CAKE WITH SIDE LENGTHS OF 2 ¼ INCHES CAN BE CUT FROM THE CAKE? First, divide the cake length by the piece length

Next, divide the cake width by the piece width

ANTONIA BOUGHT A SET OF DISHES, A TOWEL, AND A CANDLE AT A HOUSEWARES STORE. THE SET OF DISHES COST $35.59, THE TOWEL COST $21.75, AND THE CANDLE COST $9.36 BEFORE ANY COUPONS OR DISCOUNTS.

SHE USED A $0.50-OFF COUPON ON THE CANDLE, A $2.75-OFF COUPON ON THE TOWEL, AND THE SET OF DISHES WAS ON SALE FOR 10% OFF THE REGULAR PRICE. WHICH OF THE FOLLOWING BEST DESCRIBES THE AMOUNTS THAT ANTONIA SAVED?

First, find the percentage Antonia saved by using the $0.50-off coupon by dividing $0.50 by the cost of the candle, and then converting the result to a percent.Next, find the percentage she saved by using the $2.75-off coupon by dividing $2.75 by the cost of the towel, and then converting the result to a percent.

She saved about 5.34% on the candle, 10% on the set of dishes, and about 12.64% on the towel.

CARL, GILDA, CONROY, AND KYLA ARE THE FOUR CANDIDATES IN A SCHOOL ELECTION. CARL RECEIVED 1/5 OF THE VOTES, GILDA RECEIVED 5% OF THE VOTES, AND CONROY RECEIVED ¼ OF THE VOTES. IF KYLA RECEIVED ALL OF THE REMAINING VOTES, WHAT PERCENTAGE OF THE VOTES DID SHE RECEIVE?

First, convert the fraction of votes that Carl and Conroy received to percents to simplify the calculation.

Carl 1/5 = 0.20 = 20%

Gilda5%

Conroy ¼ = 0.25 = 25%

100% - 20% - 5% - 25% = 50% is Kyla

KENNETH DROVE 167.5 MILES IN 3 7/20 HOURS. WHAT WAS HIS AVERAGE SPEED?

MANDANA IS ORDERING NEW TILE FOR HER KITCHEN FLOOR. THE AREA OF THE FLOOR IS 112.8 SQUARE FEET, AND SHE WANTS TO ORDER BETWEEN 15% AND 20% EXTRA OF THE MATERIALS. WHICH OF THE FOLLOWING IS A REASONABLE AMOUNT OF TILE FOR MANDANA TO ORDER? First, convert the percents to decimals

to simplify the calculation.

15% = 0.15 & 2 0% = 0.02

Next, multiply the area of the floor by 0.15 and 0.2 to find the least and greatest amount of extra tile Mandana should order

Then, add the amounts of extra tile to 112.8 square feet to find at least and at most how much tile she should order.

MANDANA IS ORDERING NEW TILE FOR HER KITCHEN FLOOR. THE AREA OF THE FLOOR IS 112.8 SQUARE FEET, AND SHE WANTS TO ORDER BETWEEN 15% AND 20% EXTRA OF THE MATERIALS. WHICH OF THE FOLLOWING IS A REASONABLE AMOUNT OF TILE FOR MANDANA TO ORDER? Then, add the amounts of extra tile to 112.8 square feet to find at least and at most how much tile she should order.

So, Mandana should order between 129.72 square feet and 135.36 square feet of tile.

Therefore, 134 square feet is a reasonable amount of tile for Mandana to order.

NENE TRIPLED A COOKIE RECIPE FOR A PARTY. THE ORIGINAL RECIPE CALLED FOR 3.25 CUPS OF SUGAR. NENE TRIPLED THE SUGAR AMOUNT AND POURED IT INTO A MIXING BOWL. THE MIXING BOWL GOT KNOCKED OVER AND 2.46 CUPS OF SUGAR SPILLED. HOW MANY CUPS OF SUGAR WERE LEFT IN THE MIXING BOWL? First, triple the amount of

sugar by multiplying by three.

Next, subtract the amount of sugar that was spilled from the total.