<span><span><span><span><span>(<span>5+4</span>)</span><span>(2)</span></span>+6</span>−<span><span>(2)</span><span>(2)</span></span></span>−1</span><span>=<span><span><span><span><span>(9)</span><span>(2)</span></span>+6</span>−<span><span>(2)</span><span>(2)</span></span></span>−1</span></span><span>=<span><span><span>18+6</span>−<span><span>(2)</span><span>(2)</span></span></span>−1</span></span><span>=<span><span>24−<span><span>(2)</span><span>(2)</span></span></span>−1</span></span><span>=<span><span>24−4</span>−1</span></span><span>=<span>20−1</span></span><span>=<span>19</span></span>
Answer:
<em>The baker bought 8 apples and 4 bananas</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
a = pounds of apples
b = pounds of bananas
The baker bought a total of 12 pounds of apples and bananas, thus:
a + b = 12 [1]
Apple cost $0.75 per pound and each pound of bananas cost $1.05 per pound. Thus the total cost is 0.75a + 1.05b. We know he spent a total of $10.20, thus
0.75a + 1.05b = 10.20 [2]
Solving [1] for a:
a = 12 - b [3]
Substituting in [2]:
0.75(12 - b) + 1.05b = 10.20
Operating
9 - 0.75b + 1.05b = 10.20
Simplifying:
0.30b = 10.20 - 9 = 1.20
Dividing by 0.30:
b = 1.20/0.30
b = 4
From [3]:
a = 12 - 4 = 8
a = 8
The baker bought 8 apples and 4 bananas
24:14 and 36:21 are both equivalent ratios to 12:7
Answer:
no
Step-by-step explanation: