Question

SO i need help on 2 and 3 and how did you get the answers

Answer 1

Step-by-step explanation:

2.1st group: 1.5........x

2nd group: 2..........x

Total distance is 21miles. Since you have been provided a total distance in the problem...you sum the R*T of both groups and set them equal to your total distance (21miles)

If D=RT, then multiply each groups rate by time respectively.

1.5x + 2x = 21

SIMPLIFY

3.5x=21

DIVIDE BOTH SIDES BY 3.5 TO GET 'X' ALONE

x=6

Always remember when writing your solutions to include the units. To check your work plug your solution back into the D=RT equation and it should = your total miles provided.

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3 Here's the problem, Sergio sells a mixture of Virginia peanuts and Spanish peanuts for $3.40 per pound. To make the mixture, he uses Virginia peanuts that cost $3.50 per pound, and Spanish peanuts that cost $3 per pound. He mixes 10 pounds at a time.

:

(a)How many pounds of Virginia peanuts does Sergio use?

Assume he is making 10 lb of the $3.40 mixture

:

Let x = no. of pounds of the Virginia ($3.50) peanuts

Then (10-x) = no. of pounds of the Spanish ($3) peanuts

:

The Equation:

3.5x + 3(10-x) = 3.4(10)

3.5x + 30 - 3x = 34

.5x = 34 - 30

x = 4/.5

x = 8 pounds of Virginia peanuts

:

(b)How many pounds Spanish peanuts does Sergio use?

Spanish peanuts must be 2 pounds since the total is 10 pounds

:

Check:

3.5(8) + 3(2) = 3.4(10)

28 + 6 = 34