Answer:
There are 3 adults in the family.
Step-by-step explanation:
The equations 8x + 4y = 32 and 16x + 12y = 72 represent the cost of lunch and dinner for a family in which x is the number of adults and y is the number of children.
We have to find the number of adults or the value of x by solving these equations.
equations are 8x + 4y = 32 -------(1)
16x + 12y = 72 --------(2)
Now we will multiply equation 1 by 3 and subtract it by equation 2.
(16x + 12y) -3(8x + 4y) = 72 - 96
16x + 12y - 24x - 12y = -24
(16x - 24x) + (12y - 12y) = -24
-8x = - 24
8x = 24
x = 3
Therefore, there are 3 adults in the family.
Answer:
x = 14
Step-by-step explanation:
Answer: it was probably more chocolaty because he added 5 teaspoons instead of 4 which is 2 doubled
Step-by-step explanation:
Step-by-step explanation:
the ratio of the pool lengths is 3/5.
that means for every 3 meters of length on Shantel's pool, there are 5 meters of length on Juan's pool.
it the other way around : to get to the size of Shantel's pool, every 5 meters of length on Juan's pool are converted to 3 meters.
x = length of Juan's pool
x × 3/5 = 30
3x = 150
x = 50 meters
you see the relationship ?
3/5 = 30/50 = 300/500 = ...
but it is true for any factor
3/5 = 15/25 = 24/40 = 6/10 = ...
once you see the factor for one part of the ratio, you know there is the same factor for the other part (or parts) of the ratio. otherwise the ratio would not stay the same and keep the relationship.
