if there were x boxes filled, then
scones = 4x+7
muffins = 8x+1
now we know that
(4x+7)/(8x+1) = 2/3
Since x is not an integer, I suspect a typo.
The ratio of the number of scones to the number of muffins in a bakery was 2:3. After 4 scones and 8 muffins were packed into each box, there were a total of 7 scones and 1 muffin left. Find the total number of scones and muffins in the bakery at first
2 answers
2:3 = 2/3
4x + 7 = scones
8x + 1 = muffin
(4x + 7)/8x + 1 = 2/3
12x + 21 = 16x + 2
21 - 2 = 16x - 12x
4x/4 = 19/4
x = 4.75
scones = 4x + 7
scones = 4 (4.75) + 7
scones = 26
muffin = 8x + 1
muffin = 8 (4.75) + 1
muffin = 39
4x + 7 = scones
8x + 1 = muffin
(4x + 7)/8x + 1 = 2/3
12x + 21 = 16x + 2
21 - 2 = 16x - 12x
4x/4 = 19/4
x = 4.75
scones = 4x + 7
scones = 4 (4.75) + 7
scones = 26
muffin = 8x + 1
muffin = 8 (4.75) + 1
muffin = 39