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malfutka [58]
3 years ago
10

At a farmers market strawberries cost $1.60 per pint, blueberries cost $2.30 per pint. A shopper bought twice as many pints of s

trawberries as pints of blueberries, and spent a total of $11.00. How many pints of each did she buy?
Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0

<em><u>4 pints of strawberries and 2 pints of blueberries are bought</u></em>

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

Let "a" be the pints of strawberries bought

Let "b" be the pints of blueberries cost

Cost per pint of strawberry = $ 1.60

Cost per pint of blueberry = $ 2.30

<em><u>A shopper bought twice as many pints of strawberries as pints of blueberries</u></em>

Therefore,

a = 2b --------- eqn 1

<em><u>They spent a total of $11.00. Therefore we frame a equation as:</u></em>

pints of strawberries bought x Cost per pint of strawberry + pints of blueberries cost x Cost per pint of blueberry = 11

a \times 1.60 + b \times 2.30 = 11

1.6a + 2.3b = 11 --------- eqn 2

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

1.6(2b) + 2.3b = 11

3.2b + 2.3b = 11

5.5b = 11

Divide both sides by 11

b = 2

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

a = 2(2)

a = 4

Thus 4 pints of strawberries and 2 pints of blueberries are bought

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