A nutritionist is interested in estimating the proportion of consumers who look to purchase organic produce. How large of a samp
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Answer:
In the end Joanne had 55 sweets.
Step-by-step explanation:
Let the number of sweets that Xue Ying had be y and let the number of sweets Joanne had be x.
It is given that Xue Ying had 143 more sweets than Joanne. We can write this information as an equation.
y = x + 143.
It is also given that Joanne gave away 22 of her sweets and after that Xue Ying had 6 times as many more sweets. We can write this as an equation.
y = 6(x - 22) = 6x - 132.
Therefore we can equate the two equations and solve for x.
x + 143 = 6x - 132
5x = 275
∴ x = sweets.
Therefore in the end Joanne had 55 sweets.
You have the equations set up correctly. I will use r and b as the variables to make it easier to follow.
12r + 8b = 70
20r + 12b = 110
First let's solve one of the equations for one of the variables.
12r = 70 - 8b
Now plug that in for r in the second equation.
Simplify
b = 5 grams
Now plug 5 in for b in one of the original equations to find r.
12r + 8(5) = 70
12r = 30
r = 2.5 grams
So the red marbles weigh 2.5 grams, and the blue marbles weigh 5 grams.
12r + 8b = 70
20r + 12b = 110
First let's solve one of the equations for one of the variables.
12r = 70 - 8b
Now plug that in for r in the second equation.
Simplify
b = 5 grams
Now plug 5 in for b in one of the original equations to find r.
12r + 8(5) = 70
12r = 30
r = 2.5 grams
So the red marbles weigh 2.5 grams, and the blue marbles weigh 5 grams.