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1. Priya is buying raisins and almonds to make trail mix. Almonds cost $5.20 per pound and raisins cost $2.75 per pound. Priya
spent $11.70 buying almonds and raisins. The relationship between pounds of almonds a, pounds of raisins, and the total cost is
represented by the equation 5.20a +2.75r = 11.70.
How many pounds of raisins did Priya buy if she bought the following amounts of almonds:
2 pounds of almonds
Round your answer to the nearest hundredth, and do not include units (pounds of raisins).

Respuesta :

kaelinsydney25

Answer:

.47

Step-by-step explanation:

First you would substitute 2 for a, since that’s the amount of almonds bought.

5.20(2)+2.75r=11.70

Then you multiply 5.20 and 2

10.4+ 2.75r=11.70

Subtract 10.4 from each side of the equation to help isolate the variable

2.75r=1.30

And last you will divide each side by 2.75 to get the variable on its own. The final answer is .4727

Rounding would get you to .47

Priya bought 0.47 pounds of raisins

Almonds cost  $5.20 per pound

Raisins cost $2.75 per pound.

Total cost of almonds purchased = $5.20a

Total cost of raisins purchased = $2.75r

Where:

a = total pounds of almonds bought

r = total pounds of raisins bought

Total amount spent on raisins and almonds:  5.20a +2.75r = 11.70

If 2 pounds of almonds are bought

5.20(2) +2.75r = 11.70.

10.40 + 2.75r = 11.70

Combine similar terms

2.75r = 11.70 - 10.40

2.75r = 1.30

Divide both sides of the equation by 2.75

r = 0.47 pounds

A similar question was solved here: https://brainly.com/question/17311573?referrer=searchResults

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