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Irina18 [472]
3 years ago
8

What is the unit rate if there are 258 purple polka-dot pencils in 3 purple polka-dot purses?

Mathematics
1 answer:
stiks02 [169]3 years ago
4 0
Unit rate means one. So the best way to solve this is using a proportion over one. If there are 258 pencils in 3 purses 258/3 then how many are in one purses x/1. Cross multiply next. 258/3 * x/1. You get 3x and 258. To get the x alone, divide both sides by three. Your answer is 86 pencils in one purse.
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1. The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag a
lapo4ka [179]

Answer:

Option d :18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given :  The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality : 2.5x+4y\leq 60

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

2.5(10)+4(2)\leq 60

25+8\leq 60

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Option b : 20 bags of chips and 2 jars of salsa

so, x = 20 and y =2

Putting values in inequality

2.5(20)+4(2)\leq 60

50+8\leq 60

58\leq 60

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Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

2.5(14)+4(5)\leq 60

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Hence it is correct.

Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

2.5(18)+4(6)\leq 60

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Hence it is not correct since it violates the inequality

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