1. Bakery sells tortillas and bagels and rolls. The ratio is 12: 5 :7. Number of tortillas sold is 50 more than rolls sold.
a. Find out how many tortillas bagels and rolls were sold altogether on that Saturday.
2. Weight of potatoes used by Mrs. Wilson is 5/2 times the weight of carrots used.
a. The weight of potatoes used was 9 pounds more than the weight of carrots used. Find the total weight of both ingredients.
3. A wall is painted yellow and brown. The area painted yellow is 3 times the area painted brown.
a. The wall has an area of 8 square meters. Find the area of the wall painted yellow.
4. Peter collects U.S. and foreign stamps. He has 5 times as many U.S. stamps as foreign stamps.
a. Peter has 140 more U.S. stamps than foreign stamps. How many stamps does he have in his collection?
I'll try to keep this as non-mathematical as possible.
1. Let's think about this one for a second. Note, that for every 12 tortillas sold, 7 rolls are sold. So, that's a difference of 5. So, to have a difference of 50, we'd have to sell 10 times as many of each. So, that must be 120 tortillas and 70 rolls. And, to find the number of bagels sold, we just note that that must be 5 times 10, too. So, we sold 120 tortillas, 50 bagels and 70 rolls.
2. This one is a little harder, but not too bad. Let's call the weight of carrots used "x." Then the weight of potatoes used = 5/2 * x. Then, since 9 more pounds of potatoes are used than carrots, we can express this difference in the following way:
(Weight of potatoes used) - (Weight of carrots used) = 9
Thus..........
(5/2 * x ) - (x) = 9
Then,
(3/2 * x) = 9
And multiplying both sides by 2/3, we have
x = 6
So, 6 lbs. of carrots were used. And (5/2 * x) = (5/2 * 6) = 15 lbs, of potatoes were used.
3. This one is easy. Call the area painted brown "x." The, the yellow painted area is 3x, and the total area painted is 8.
Thus......
(Area painted brown) + (Area painted yellow) = 8 square meters
x + 3x = 8
4x = 8
Dividing by 4 on each side, we get
x = 2......So 2 square meters are painted brown. And three times this much is painted yellow.....6 square meters..
4. This one is kinda' like number 2. Let's call the number of foreign stamps he has "x." Then, the number of US stamps he has is five times as many, or just 5x. And the difference between the two types is 140.
Then
(The number of US stamps) - (The number of foreign stamps) = 140.
Setting this up as an equation, we have
5x - x = 140
4x =140.
Divide both sides by 4
x = 35 ......This is the number of foreign stamps.
And 5x = the number of US stamps = 5(35) = 175.
Note that 175 - 35 = 140.
So the total number of stamps in his collection is just 175 + 35 = 210.
That wasn't too bad, huh???
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