Can you check these?
1. A recipe for chocolate pudding calls for 1 ¼ cups of milk. The recipe makes 3 servings. How many cups of milk are needed to make 9 servings?
Ans: 1.25/3 = x/9
3x = 9*1.25
3x = 11.25
x = 11.25/3
x = 3.75 or 3 3/4 cups of milk
2. Two trees in Mrs. Nash’s yard are 1500 feet from each other. On a map, the two trees are 5 centimeters apart. What scale is the map using?
Ans: not sure how to setup proportion or what to do next. Please explain.
3. The scale of our map is 2 ½ inches = 50 feet. On a map, two flag poles are 4 ¼ inches apart. What is the actual distance in feet between the two poles?
Ans: Do i need to convert feet to inches first and then setup a proportion? please explain.
4. The proportion of yellow crayons to blue crayons in a box is 3 to 15. If there are 25 blue crayons in the box, how many yellow crayons are there?
Ans:not sure how to solve. Seems like I'm missing the total crayons.
3 yellow + 15 blue = 18 total?
3/18 = x/25?
5. 1. A recipe for chocolate pudding calls for 1 ¼ cups of milk. The recipe makes 3 servings. How many cups of milk are needed to make 9 servings?
Ans: 1.25/3 = x/9
3x = 9*1.25
3x = 11.25
x = 11.25/3
x = 3.75 or 3 3/4 cups of milk
2. Two trees in Mrs. Nash’s yard are 1500 feet from each other. On a map, the two trees are 5 centimeters apart. What scale is the map using?
Ans: not sure how to setup proportion or what to do next. Please explain.
3. The scale of our map is 2 ½ inches = 50 feet. On a map, two flag poles are 4 ¼ inches apart. What is the actual distance in feet between the two poles?
Ans: Do i need to convert feet to inches first and then setup a proportion? please explain.
4. The proportion of yellow crayons to blue crayons in a box is 3 to 15. If there are 25 blue crayons in the box, how many yellow crayons are there?
Ans: not sure what to do. given total blue crayons, but not total crayons in all. 3 yellow + 15 blue = 18 total?
3/18 = x/25 ? Please explain.
5. WHEN A TREE CASTS A 98-FOOT SHADOW, A GIANT PERSON 13 FEET TALL CASTS A 13-FOOT SHADOW. HOW TALL IS THE TREE?
Ans: not real sure. Can you explain?
98/13 = x/13
98*13 = 13x
1274 = 13x
1274/13 = x
98 = x??
#1 - correct , all you had to do is multipy 1 1/4 by 3 ,
sinc 9 helpings = 3 x 3servings
#2
5 cm <----> 1500 ft
1 cm < ----> 500 ft, that is a scale
#3, no need to convert, if you use the same units in each fraction
2.5/4.25 = 50/x
2.5x = 212.5
x = 212.5/2.5 = 85
so it was 85 ft
#4, don't add them up
yellow/blue = 3/15 = x/25
3/15 = x/25
15x = 75
x = 5 ---> there were 5 yellow
check: yellow/blue = 5/25 = 1/5
and the original = 3/15 = 1/5
why are you repeating the questions?
btw , the very last one is correct
Thanks! didn't realize it copied twice.
a recipe for rice pudding calls for 2½ cups of milk the recipe makes 5 servings. how many cups of milk are needed to make 8 cups.
none of my family nows and im scared to ask my teacher😓😓
1. To find out how many cups of milk are needed to make 9 servings, we can set up a proportion. Since 1.25 cups of milk makes 3 servings, we can write it as 1.25/3 = x/9, where x represents the unknown number of cups of milk needed for 9 servings. To solve this proportion, cross-multiply: 3x = 9 * 1.25. Then, divide both sides by 3 to isolate x: x = (9 * 1.25) / 3. Evaluating this expression gives you x = 3.75 or 3 3/4 cups of milk.
2. To determine the scale of the map that represents the two trees being 1500 feet apart, we need to set up a proportion. Let's say the distance between the two trees on the map is represented by 5 centimeters. We can write the proportion as 1500/5 = x/1, where x is the scale we are trying to find. To solve for x, we cross-multiply: 1500 * 1 = 5 * x. Simplifying this equation gives you 1500 = 5x. Divide both sides by 5 to isolate x: x = 1500/5. Evaluating this expression gives you x = 300. Therefore, the map is using a scale of 1 centimeter represents 300 feet.
3. In this question, the scale of the map is given as 2 ½ inches = 50 feet. We want to find the actual distance between two flag poles on the map, given that they are 4 ¼ inches apart. We need to set up a proportion to solve this. First, convert the measurement for the distance between the flag poles on the map to the same unit as the scale. Since there are 12 inches in 1 foot, 2 ½ inches is equivalent to 2.5/12 = 5/24 feet. Now, let's set up the proportion: (5/24) / 4.25 = 50 / x, where x represents the actual distance in feet between the two poles. To solve for x, cross-multiply: (5/24) * x = 4.25 * 50. Simplifying this equation gives you (5/24) * x = 212.5. To isolate x, multiply both sides by 24/5: x = (24/5) * 212.5. Evaluating this expression gives you x = 1020, so the actual distance between the two flag poles is 1020 feet.
4. In this problem, we know that the proportion of yellow crayons to blue crayons in a box is 3 to 15. We are also told that there are 25 blue crayons in the box. To find out how many yellow crayons are there, we need to determine the value of the total number of crayons in the box. We can set up a proportion: 3/yellow = 15/blue. Then, we substitute the known value of blue crayons (15) and write the equation: 3/yellow = 15/25. To solve for yellow, cross-multiply: 3 * 25 = yellow * 15. Simplifying this equation gives you 75 = 15 * yellow. Divide both sides by 15: yellow = 75/15. Evaluating this expression gives you yellow = 5. Therefore, there are 5 yellow crayons in the box.
5. In this question, we are given that when a tree casts a 98-foot shadow, a giant person who is 13 feet tall casts a 13-foot shadow. We want to determine how tall the tree is. To solve this, we set up a proportion: 98/13 = x/13, where x represents the height of the tree. Cross-multiplying gives you 98 * 13 = 13 * x. Simplifying this equation gives you 1274 = 13x. To isolate x, divide both sides by 13: x = 1274/13. Evaluating this expression gives you x = 98. Therefore, the tree is 98 feet tall.