Snack Packets
1 answer:
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<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
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
Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:
And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed