Let
x = loaves of bread
y = batches of muffins
You must make a system of two equations with two unknowns that describe the problem
3.5x + 2.5y = 17 --- (1)
0.75x + 0.75y = 4.5 --- (2)
Resolving we have
x = 6-y (from (2))
replacing in (1)
3.5 (6-y) + 2.5y = 17
21 - 3.5y + 2.5y = 17
y = 21-17 = 4
Then substituting in (2)
x = 6-y = 6-4 = 2
Answer
Helena could bake:
2 loaves of bread
4 batches of muffins

8 0

3 years ago

Lucy’s savings account has 35% more money than her sister Edy’s. Together, the girls have saved a total of $206.80. How much mon

kramer

Let Edy's money be x.

Lucy: 35% more --- (135/100) x

x + (135/100) x = 206.80
(47/20)x = 206.80
47x = 206.8 x 20
47x =4136
x = 88

Edy saved $88.
Lucy saved (135/100)(88) = $118.80

7 0

3 years ago

Given the differential Equation y'+2y=2e^x ;solve this equation using the integration factor; solve for y to get the general sol

SCORPION-xisa [38]

$y'+2y=2e^x\Longrightarrow y'=2e^x-2y$