Identify the mixed number for the picture shown. A. 2 1⁄4 B. 11⁄2 C. 2 1⁄2 D. 3
2 answers:
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The baker bought 7 gala apples, and 12 granny smiths apples
<em><u>Solution:</u></em>
Let "x" be the number of gala apples bought
Let "y" be the number of granny smith apples bought
Cost of 1 gala apple = $ 0.30
Cost of 1 granny smith apple = $ 0.25
<em><u>A baker buys 19 apples of two different varieties to make pies</u></em>
Therefore,
number of gala apples bought + number of granny smith apples bought = 19
x + y = 19 --------- eqn 1
<em><u>The total cost of the apples is $5.10</u></em>
Therefore, we can frame a equation as:
number of gala apples bought x Cost of 1 gala apple + number of granny smith apples bought x Cost of 1 granny smith apple = 5.10
0.3x + 0.25y = 5.1 -------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
x = 19 - y ---------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
0.3(19 - y) + 0.25y = 5.1
5.7 - 0.3y + 0.25y = 5.1
5.7 - 0.05y = 5.1
0.05y = 5.7 - 5.1
0.05y = 0.6
y = 12
<em><u>Substitute y = 12 in eqn 3</u></em>
x = 19 - 12
x = 7
Thus the baker bought 7 gala apples, and 12 granny smiths apples
Answer:
The distance the Bensons had traveled from their home hours after picking up their grand parents 292.5 miles
Step-by-step explanation:
The given equation for the distance the Benson family traveled from their home can be presented as follows;
d = 55·t + 100
Where;
d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents
t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation
To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;
d = 55·t + 100
When t = hours, we get;
Therefore, the distance the Bensons had traveled from their home hours after picking up their grand parents = 292.5 miles.