Person buys 6 granola bars and 4 cups of yogurt for $10.50. Person be buys for granola bars in 8 cups of yogurt for $11. Find the cost of each item

let the cost of granola bars be G and the cost of a cup of yogurt be Y.

For Person A: 6G + 4Y = 10.50

For Person B: 4G + 8Y = 11

Multiply first equation by 2: 12G + 8Y = 21

Subtract this by the 2nd equation: 8G = 10

Divide by 8: G = 1.25

Substitute back into the first equation: 6(1.25) + 4Y = 10.50

Y = 0.75

So a granola bar costs $1.25 and a cup of yogurt costs $0.75

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