Question

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 r, and the total cost is represented by the equation

How many pounds of raisins did Priya buy if she bought the 1.06 pounds of almonds? (Round your answer to the nearest hundredth)

Answer 1

The relationship between pounds of almonds, a, pounds of raisins r, and the total cost is represented by the equation: 11.70=2.75r+5.20a

The pounds of raisins did Priya buys  if she bought the 1.06 pounds of almonds is 2.25

What is the total cost each item bought?

The total cost per item bought is determined as the number of pounds bought multiplied by the price per pound

Total cost of raisins=$2.75*r

Total cost of almonds=$5.20*a

Total cost=2.75r+5.20a

Total amount spent by Priya  is $11.70

11.70=2.75r+5.20a

Now we need to determine the pounds of raisins if the pounds of almonds is 1.06

11.70=2.75r+5.20(1.06)

11.70=2.75r+5.51

11.70-5.51=2.75r

6.19=2.75r

r=6.19/2.75

r=2.25 pounds of raisins

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