Equations

Let's analyze the information we are given to see if we can determine how many blocks there are between the store and the beach. We are told that after walking halfway, Heichi walks another 4 blocks. He then checks his phone and walks the last 1 block to the beach. Let's make a drawing that represents the given information about blocks.

Notice that the second half of the walk to the beach consists of 4+1=5 blocks. This means that there are the same number of blocks for the first half of the walk, too. 4+1+4+1=10 In total, Heichi was 10 blocks away from the beach when he bought the basket of strawberries. It took him 20 minutes to walk these 10 blocks. We can use this information to find the time it takes him to walk each block. Since it takes the same amount of time to walk each block, let's divide 20 by 10 to find the time it takes to walk each block. 20/10=2 This means that Heichi walks each block in 2 minutes. We can say that yes, there is enough information to find the time it takes Heichi to walk each block.

This time, we will try to find the number of strawberries Heichi ate during the time he walked last block. We know that he started with 32 strawberries and that he had eaten half of them when he was halfway through the walk. Half the strawberries=32/2=16 He eats 16 strawberries during the first half of the walk. When he reaches the beach, three-eighths of the strawberries are left. Let's calculate three-eights of the strawberries by multiplying 32 and 38.

This means that when he arrives at the beach, he only has 12 strawberries left. Let's make a diagram that represents the information about the strawberries.

According to diagram, the numbers of strawberries eaten are different in the first and second halves of the walk. First Half: & 32-16=16 First Half: & 16-12=4 There is no information given about whether Heichi eats the same number of strawberries over each block for the second half of the walk. We can estimate the number of berries eaten in each block, but there is not enough information to find the exact number of strawberries that he eats while walking the last block.

Value of $x$	Substitute	Are both sides equal?
$5$	$5 - 5 = ? 3$	$0 \neq = 3 \times$
$6$	$6 - 5 = ? 3$	$1 \neq = 3 \times$
$7$	$7 - 5 = ? 3$	$2 \neq = 3 \times$
$8$	$8 - 5 = ? 3$	$3 = 3 ✓$

Menu	Menu Price	Substitution into $2 x + 8 = 22$	Check
Combo I	$7$	$2 (7) + 8 = ? 22$	$22 = 22 ✓$
Combo II	$9$	$2 (9) + 8 = ? 22$	$26 \neq = 22 \times$
Combo III	$5$	$2 (5) + 8 = ? 22$	$18 \neq = 22 \times$
Combo IV	$6$	$2 (6) + 8 = ? 22$	$20 \neq = 22 \times$

Menu	Menu Price	Substitution into $x^{2} - 15 x = - 54$	Check
Combo I	$7$	$(7)^{2} - 15 (7) = ? - 54 49 - 105 = ? - 54$	$- 56 \neq = - 54 \times$
Combo II	$9$	$(9)^{2} - 15 (9) = ? - 54 81 - 135 = ? - 54$	$- 54 = - 54 ✓$
Combo III	$5$	$(5)^{2} - 15 (5) = ? - 54 25 - 75 = ? - 54$	$- 50 \neq = - 54 \times$
Combo IV	$6$	$(6)^{2} - 15 (6) = ? - 54 36 - 90 = ? - 54$	$- 54 = - 54 ✓$

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