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Artist 52 [7]
3 years ago
11

Joe and grace are baking cookies they need a total of 2 cups of sugar for the recipe joe has 11/10 cups of sugar and grace has 3

/4 of a cup of sugar without solving the problem do they have enough sugar explain your thinking
Mathematics
1 answer:
DanielleElmas [232]3 years ago
6 0

Answer:

Step-by-step explanation:

Total amount of sugar needed to bake the cookies is 2 cups. Amount of sugar that Joe has is 11/10 cups of sugar. Amount of sugar that Grace has is 3/4 cups of sugar.

The total amount of sugar that Joe and Grace have won't be enough to bake the cake because the total of 11/10 cups and 3/4 cups is below 2 cups

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The sum of two numbers is 21. Three times the larger is equal to four times the smaller.
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Answer x = 12 and y = 9
Step by step
First identify the equations
The sum of two numbers is 21
x + y = 21
Change to y intercept for ease of math
y = 21 - x ( call this equation a)
Three times the larger is equal to four times the smaller
3x = 4y (call this equation b)
Now substitute the value of y = 21 -x into equation b
3x = 4(21-x)
Distribute
3x = 84 - 4x
Now we want to isolate x by adding 4x to each side
3x + 4x = 84 -4x + 4x
Combine like terms
7x = 84
Now solve for x by dividing both sides by 7
x = 12

Now to find y
Using equation a from above
y = 21 - x
Substitute our x value of 12 into equation
y = 21 - 12
solve for y
y = 9
Now check your work
x = 12 and y = 9
The sum of two numbers is 21
12 + 9 = 21

Three times the larger (x) is equal to four times the smaller (y)
3x12 = 4x9
36 = 36
Problem solved!!
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1 year ago
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