Marshmallows cost 2$ and ounce and have 500 calories in an ounce . cookies cost 3$ an ounce and have 400 calories in an ounce. a mixture of marshmallows and cookies cost $29 and has 4,800 calories. create a system of equations to model this scenario. how many ounces of marshmallows are there in the mixture ?
i’m stuck ! : (

4oz of marshmallows

Step-by-step explanation:

Given:

Marshmallows ==> $2 per oz ; 500 cal per oz

Cookiess ==> $3 per oz ; 400 cal per oz

Mixture of marshmallows and cookies ===> Cost $29 ; has 4,800 calories

let the number of marshmallows be M

let the number of cookies be C

Considering price:

2M + 3C = 29 eq 1

Considering Calories:

500M + 400C = 4800 (divide by 100)

5M + 4C = 48 eq 2

Solving the system of equations using your favorite method of choice will give:

M = 4 and C = 7

Hence there are 4 oz of marshmallows

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step-by-step explanation:

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t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680