Mrs Raja and Mrs lee have some eggs to sell. If mrs raja sells 30 eggs per day and mrs lee sells 15 eggs per day , mrs lee will still have 610 eggs left when mrs raja has sold all her eggs . If mrs lee sells 30 eggs per day and mrs raja sells 10 eggs per day , mrs lee will still have 10 eggs left when mrs raja has sold all her eggs .
What is the total number of eggs they have altogether?
The ans is 970 but i don't know the steps
If Raja has x, and Lee has y, then we are told:
after d days,
y-15(x/30) = 610
y-30(x/10) = 10
Solve for x and y, and you will get x+y=970
Thank you so much
To find the total number of eggs they have altogether, we can use a system of equations. Let's represent the number of eggs Mrs Raja has by R, and the number of eggs Mrs Lee has by L.
According to the first condition, if Mrs Raja sells 30 eggs per day and Mrs Lee sells 15 eggs per day, Mrs Lee will still have 610 eggs left when Mrs Raja has sold all her eggs. This can be expressed as:
R - (30 * n) = 0 (1)
L - (15 * n) = 610 (2)
where 'n' represents the number of days it takes for Mrs Raja to sell all her eggs.
Similarly, according to the second condition, if Mrs Lee sells 30 eggs per day and Mrs Raja sells 10 eggs per day, Mrs Lee will still have 10 eggs left when Mrs Raja has sold all her eggs. This can be expressed as:
R - (10 * n) = 0 (3)
L - (30 * n) = 10 (4)
To solve this system of equations, we can first eliminate one variable by subtracting equation (3) from equation (1):
(1) - (3):
(30 * n) - (10 * n) = 0 - 0
20 * n = 0
n = 0
Substituting n = 0 into equations (1) and (2):
R - (30 * 0) = 0
R = 0
L - (15 * 0) = 610
L = 610
Now we have the values of R and L, which represent the number of eggs Mrs Raja and Mrs Lee have, respectively. To find the total number of eggs, we add them together:
Total number of eggs = Mrs Raja's eggs + Mrs Lee's eggs
Total number of eggs = R + L
Total number of eggs = 0 + 610
Total number of eggs = 610
Therefore, the total number of eggs they have altogether is 610. It seems there might be a mistake in the given answer of 970, as the calculations based on the given conditions yield 610.