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Harold lives on Doritos and seafood salads. The price of Doritos is 1 dollar per bag and the price of seafood salads is 2 dollars each. Harold allows himself to spend no more than 11 dollars a day on food. He also restricts his consumption to 6,500 calories per day. There are 1,500 calories in a bag of Doritos and 500 calories in a seafood salad. If he spends his entire money bud get each day and consumes no more calories than his calorie limit, he can consume up to:

Respuesta :

Answer:

If Harold spends his entire money he get each day ,then he can have 3 packets of Doritos and 4 plates of seafood salad.

Explanation:

Let the number of packets of Doritos in a be x and number of number of times seafood salad in a day be y.

Cost of 1 packet of Doritos = 1$

Cost of single plate of seafood salad = $2

Total amount Harold can spend on food in a day = $11

[tex]x\times 1\$+y\times 2\$=\$11[/tex]

[tex]x+2y=11[/tex]..[1]

Number of calories in a packet of Doritos = 1,500

Number of calories in a single plate of seafood salad = 500

Total consumption of calories by Harold in a day = 6,500

[tex]1,500\times x+500\times y=6,500[/tex]

[tex]15x+5y=65[/tex]..[2]

Solving [1] and [2] we get :

x = 3

y = 4

If Harold spends his entire money he get each day ,then he can have 3 packets of Doritos and 4 plates of seafood salad.