When a bakery opened this morning the ratio of pineapple muffins to the number of mango muffins was 3:2. After 144 pineapple muf

fins were sold, the ratio of the number of pineapple muffins to the number of mango muffins changed to 3:5. How many pineapple muffins were there when the bakery opened in the morning?
Answer is 240, but we need ot know how to get to the answer.

Mathematics

1 answer:

Elena L [17]2 years ago

6 0

$3x-\ pineapple\\
2x-\ mango\\\\
after\ selling\ 144\ pineapple:\\
3y-\ pineapple\\
5y-\ mango\\\\
3x-144=3y\ \ | add\ 144\\
2x=5y\\\\
3x=3y+144\ \ \ | divide\ by\ 3\\
2x=5y\\\\
x=y+48\\2x=5y\\\\
2(y+48)=5y\\
2y+96=5y\ \ \ | subtract\ 2y\\
96=3y\ \ \ | divide\ by\ 3\\
32=y\\
x=32+48=80\\\\
There\ were\ 240\ pineapple\ muffins.
$

You might be interested in

Please help and thanks <br> Choose the correct answer <br> 2x>12x and 7x<14

34kurt

Answer:

C - x < -6 and x < 2

Step-by-step explanation:

2x ">" -12 and 7x < 14. with negative numbers, the bigger the number the less it is. -12 < -6 because negative numbers work the opposite way that positive numbers do. I hope this helps you!!!!

6 0

2 years ago

f(x)=4 hallar el dominio, codominio, ceros o raices, vertices, asintotas, tabla de valores, graficas, identificar el tipo de fun

nekit [7.7K]

Answer:

Tipo de función: Función Constante o Función Polinómica de Orden Cero

Dominio: $Dom \{f(x)\} = \mathbb{R}$

Codominio: $Ran \{f(x)\} = 4$

Asíntota: $y = 4$

Raíces: No tiene.

Vértices: No tiene.

La tabla de valores y el gráfico se encuentran adjuntos al fondo.

Step-by-step explanation:

Sea $f(x) = 4$ , el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son $Dom \{f(x)\} = \mathbb{R}$ y $Ran \{f(x)\} = 4$ . No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función ( $y = 4$ ) y carece de raíces al ser $f(x) \ne 0$ para todo $x\in \mathbb{R}$ .