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cashews cost $4 per pound and peanuts cost $2.50 per pound. if you mix 4 pounds of cashews and 4 pounds of peanuts, what is the total cost of one pound of the mixture?

$3.25

Step-by-step explanation:

First you need to calculate the cost of the 8 pounds of nuts.

Cashews = 4 x $4 = $16

Peanuts = 4 x $2.50 = $10

The total cost of 8 pounds of nuts equals $16 + $10 = $26

In order to calculate the cost of 1 pound of the mixture you need to divide the total cost by the total weight.

$26 / 8 lbs = $3.25 / lb

The cost of one pound of the mixture is $3.25.

because we have to find the total cost of one pound of the mixture, therefore first we will calculate the total cost of cashews and Peanuts and than we will divide the total cost by the total weight.

step by step solution:

cost of 4 pounds [email protected]$ 4/pound = 4 x 4= $16

cost of 4 pounds of peanuts @$2.50/pound = 4 x 2.50= $10.00

Now total cost= $16+$10= $26

now total weight= 4+4=8 pounds

Then cost of 1 pound of mixture= total cost÷ total weight

cost = 26÷8= 3.25

so answer is $3.25

11

step-by-step explanation:

32.50-7.50=25

225/25=11

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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