Answered

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The equations 6x + 5y = 300 and 3x + 7y = 285 represent the
money collected from selling gift baskets in a school fundraising
event. If x represents the cost for each snack gift basket and
y represents the cost for each chocolate gift basket, what is the cost
for each chocolate gift basket?
(1) $20 (3) $30
(2) $25 (4) $54

Sagot :

(3) $30
Multiply the second equation by -2, then subtract it from the first equation. It should be
6x+5y=300
-6x-14y=-570
                  
-9y=-270
y=30
abidemiokin

Answer:

$30

Step-by-step explanation:

Solving the equation given simultaneously to get the x and y variable;

6x + 5y = 300... (1) × 1

3x + 7y = 285... (2) × 2

Using elimination method, we will multiply equation 1 by 1 and equation 2 by 2 as shown above to have;

6x + 5y = 300... 3

6x + 14y = 570... 4

Subtracting equation 3 from 4, we have;

5y-14y = 300-570

-9y = -270

y = 270/9

y = 30

Since y represent the cost for each chocolate gift basket, the cost of each chocolate gift basket will be $30

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