Leonard has twice as much money as Danny. If Leonard has x dollars, then Danny has _2/x_ dollars. -im unsure about this answer :(-
Anna's test score is 30 points higher than Ellery's. If Ellery's test score is x then Anna's test score is _x+30_
There are 56 fewer boys in eighth grade than girls. If the number of boys is x, then the number of girls is _x+56_
Sara is making double her recipe for fudge. If x is the number of ounces of chocolate in the recipe, then the amount of chocolate Sara needs is __2x__
Yogurt costs $1.50 per container. Then x containers cost _$1.50x_
Leonard has twice as much money as Danny. If Leonard has x dollars, then Danny has half of that, which is x/2 dollars. So, the correct answer is x/2.
Anna's test score is 30 points higher than Ellery's. If Ellery's test score is x, then Anna's test score is x + 30. So, the correct answer is x + 30.
There are 56 fewer boys in eighth grade than girls. If the number of boys is x, then the number of girls is x + 56. So, the correct answer is x + 56.
Sara is making double her recipe for fudge. If x is the number of ounces of chocolate in the recipe, then the amount of chocolate Sara needs is 2x. So, the correct answer is 2x.
Yogurt costs $1.50 per container. If x containers are bought, then the cost would be 1.50x. So, the correct answer is 1.50x.
#1. x/2, not 2/x
the rest are ok.
Leonard has twice as much money as Danny. If Leonard has x dollars, then Danny has _2/x_ dollars.
No, the correct answer is that if Leonard has x dollars, then Danny has _x/2_ dollars.
To solve these types of problems, you can use algebraic equations to represent the relationships between different quantities.
Let's go through each question and see how we can set up the equations:
1. Leonard has twice as much money as Danny:
- If Leonard has x dollars, then Danny has 2/x dollars.
Explanation: You can set up the equation as L = 2D, where L represents Leonard's money and D represents Danny's money. Since Leonard has twice as much money as Danny, you can say L = 2D. If Leonard has x dollars, you can substitute L = x and solve for D: x = 2D, which gives D = 2/x dollars.
2. Anna's test score is 30 points higher than Ellery's:
- If Ellery's test score is x, then Anna's test score is x+30.
Explanation: You can set up the equation as A = E + 30, where A represents Anna's test score and E represents Ellery's test score. Since Anna's score is 30 points higher than Ellery's score, you can say A = E + 30. If Ellery's test score is x, substitute E = x, and you have A = x + 30.
3. There are 56 fewer boys in eighth grade than girls:
- If the number of boys is x, then the number of girls is x+56.
Explanation: You can set up the equation as G = B + 56, where G represents the number of girls and B represents the number of boys. Since there are 56 fewer boys than girls, you can say G = B + 56. If the number of boys is x, substitute B = x, and you have G = x + 56.
4. Sara is making double her recipe for fudge:
- If x is the number of ounces of chocolate in the recipe, then the amount of chocolate Sara needs is 2x.
Explanation: Since Sara is making double the recipe, the amount of chocolate she needs will be twice the original amount. If the original recipe calls for x ounces of chocolate, then double that would be 2x ounces.
5. Yogurt costs $1.50 per container:
- Then x containers cost $1.50x.
Explanation: If each container of yogurt costs $1.50, then the total cost for x containers would be $1.50 times x, which can be represented as $1.50x.
By setting up these equations, you can solve for various unknowns or find the relationship between different quantities based on the given information.