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3 years ago

#20 please help me solve this

Mathematics

1 answer:

Gelneren [198K]3 years ago

7 0

Answer:

A pound of a JELLY BEANS cost $2.5

A pound of TRAIL MIX cost $1.5

Step-by-step explanation:

From the question, we can draw out two equations and solve them simultaneously.

We should make some mild assumptions to make it easier:

Let Jelly beans be j

Let Trail mix be t

Therefore, we can extract these equations.

5j + 3t =$ 17 ...........i

2j + 12t = $ 23...…..ii

Let's Multiply equation (I) by 4 so that we can easily eliminate.

20j + 12t = $ 68..... iii

Let equation (iii) minus equation (ii)

18j + 0t = $45

18j = $45

j = $45/18

j = $2.5

A pound of a JELLY BEANS cost $2.5

Let's substitute j= $2.5 in EQUATION (I) so as to solve for TRAIL MIX.

5j + 3t =$ 17

5(2.5) + 3t = 17

12.5 + 3t = 17

3t = 17 - 12.5

3t = 4.5

t = $1.5

A pound of TRAIL MIX cost $1.5

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