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3 years ago

10

James practice piano for 48 minutes. Alisa practice for 5 times as long as james how many minutes did Alisa practice? How many m

inutes in all did james and Alisa practice? Write an equation to model your work.

1 answer:

dlinn [17]3 years ago

5 0

Answer:

Step-by-step explanation:

1. 48 x 5= 240

2. James minutes- 48 Alisa's- 240

3. 48 + 240 = 288

Equation: 48 + 5 (48)= 288

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84 pounds of Type B coffee is used

<em><u>Solution:</u></em>

Let "x" be the pounds of type A coffee

Let "y" be the pounds of type B coffee

Cost per pound of type A = $ 5.50

Cost per pound of Type B = $ 4.20

<em><u>This month, Chau made 143 pounds of the blend</u></em>

x + y = 143

x = 143 - y -------- eqn 1

<em><u>For a total cost of $677.30. Thus we frame a equation as:</u></em>

pounds of type A coffee x Cost per pound of type A + pounds of type B coffee x Cost per pound of Type B = 677.30

$x \times 5.50 + y \times 4.20 = 677.30\\\\5.5x + 4.2y = 677.30 -------- eqn 2$

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

$5.5(143-y) +4.2y = 677.30\\\\786.5 -5.5y + 4.2y = 677.30\\\\5.5y - 4.2y = 786.5 - 677.30\\\\1.3y = 109.2\\\\Divide\ both\ sides\ by\ 1.3\\\\y = 84$

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