Answer:
Sue must use 3 hotdogs and 4 half-cup serving of baked beans.
Step-by-step explanation:
Let the number of hot dogs be represented by h
Let the number of baked beans be represented by b
Hot dogs have 13 grams of fat and 145 calories each
Baked beans have 8 grams of fat and 330 calories per half cup serving
Sue wants to plan a meal with 71 grams of fat and 1755 calories.
Grams of Fat from Hotdog + grams of fat from baked beans=71
13h+8b=71....(I)
Similarly,
Calories from hot dog + Calories from baked beans=1755
145h+330b=1755....(II)
We then solve Equations (I) and (II) simultaneously.
13h+8b=71....(I)
145h+330b=1755....(II)
Multiply equation 1 by 145 and equation 2 by 13
1885h+1160b=10295
1885h+4290b=22815
Subtracting
-3130b=-12520
b=4
Substitute b=4 into (I)
13h+(8X4)=71
13h=71-32
13h=39
h=3
Sue must use 3 hotdogs and 4 half-cup serving of baked beans.
